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 <div v:shape=3D"_x0000_s271362" class=3DO style=3D'position:absolute;top:1=
.0%;
 left:25.09%;width:62.92%;height:6.75%'><span lang=3DEN-US style=3D'font-si=
ze:178%;
 mso-fareast-language:ZH-CN'>The Logarithmic Functions</span></div>
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soku-overflow:
 0'><span style=3D'position:absolute;top:35.5%;left:5.24%;width:106.36%;
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ge:ZH-CN'>When
 the relation is written as exp</span><span lang=3DEN-US style=3D'font-size=
:103%;
 position:relative;top:.37em;mso-text-raise:-25%;mso-fareast-language:ZH-CN=
'>b</span><span
 lang=3DEN-US style=3D'font-size:156%;mso-fareast-language:ZH-CN'>(x) =3D y=
 or b</span><span
 lang=3DEN-US style=3D'font-size:103%;position:relative;top:-.45em;mso-text=
-raise:
 30%;mso-fareast-language:ZH-CN'>x</span><span lang=3DEN-US style=3D'font-s=
ize:
 156%;mso-fareast-language:ZH-CN'><span style=3D'mso-spacerun:yes'>&nbsp;</=
span>=3D
 y,<span style=3D'mso-spacerun:yes'>&nbsp; </span></span></span><span
 style=3D'position:absolute;top:41.75%;left:5.24%;width:107.86%;height:6.0%=
'><span
 lang=3DEN-US style=3D'font-size:156%;mso-fareast-language:ZH-CN'>its calle=
d the
 exp-form. The form log</span><span lang=3DEN-US style=3D'font-size:103%;
 position:relative;top:.37em;mso-text-raise:-25%;mso-fareast-language:ZH-CN=
'>b</span><span
 lang=3DEN-US style=3D'font-size:156%;mso-fareast-language:ZH-CN'>(y) =3D x=
 is called
 </span></span><span style=3D'position:absolute;top:48.0%;left:5.24%;width:=
92.32%;
 height:6.0%'><span lang=3DEN-US style=3D'font-size:156%;mso-fareast-langua=
ge:ZH-CN'>the
 log-form.</span></span></div>
 <div v:shape=3D"_x0000_s271364" class=3DO style=3D'mso-char-wrap:0;mso-kin=
soku-overflow:
 0'><span style=3D'position:absolute;top:8.75%;left:5.24%;width:95.31%;
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ge:ZH-CN'>Hence
 </span><span lang=3DEN-US style=3D'font-size:156%;color:red;mso-fareast-la=
nguage:
 ZH-CN'><i>log</i></span><span lang=3DEN-US style=3D'font-size:103%;color:r=
ed;
 position:relative;top:.37em;mso-text-raise:-25%;mso-fareast-language:ZH-CN=
'><i>b</i></span><span
 lang=3DEN-US style=3D'font-size:156%;color:red;mso-fareast-language:ZH-CN'=
><i>(y)
 is an exponent x</i></span><span lang=3DEN-US style=3D'font-size:156%;mso-=
fareast-language:
 ZH-CN'>, where x is the </span></span><span style=3D'position:absolute;
 top:15.0%;left:5.24%;width:90.63%;height:6.0%'><span lang=3DEN-US
 style=3D'font-size:156%;mso-fareast-language:ZH-CN'>exponent needed (with =
base
 b) to get y.<span style=3D'mso-spacerun:yes'>&nbsp; </span></span></span><=
/div>
 <div v:shape=3D"_x0000_s271365" class=3DO style=3D'mso-char-wrap:0;mso-kin=
soku-overflow:
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ge:ZH-CN'>exp</span><span
 lang=3DEN-US style=3D'font-size:103%;position:relative;top:.37em;mso-text-=
raise:
 -25%;mso-fareast-language:ZH-CN'>b</span><span lang=3DEN-US style=3D'font-=
size:
 156%;mso-fareast-language:ZH-CN'>(x) =3D y and x =3D log</span><span lang=
=3DEN-US
 style=3D'font-size:103%;position:relative;top:.37em;mso-text-raise:-25%;
 mso-fareast-language:ZH-CN'>b</span><span lang=3DEN-US style=3D'font-size:=
156%;
 mso-fareast-language:ZH-CN'>(y) describe the same relation </span></span><=
span
 style=3D'position:absolute;top:29.49%;left:5.24%;width:94.0%;height:6.0%'>=
<span
 lang=3DEN-US style=3D'font-size:156%;mso-fareast-language:ZH-CN'>between t=
he
 numbers b, x and y.</span></span></div>
 <div v:shape=3D"_x0000_s271366">
 <div class=3DO1 style=3D'mso-margin-left-alt:504'></div>
 <div class=3DO2 style=3D'mso-margin-left-alt:792'></div>
 <div class=3DO3 style=3D'mso-margin-left-alt:1080'></div>
 <div class=3DO4 style=3D'mso-margin-left-alt:1368'></div>
 <div class=3DO style=3D'mso-margin-left-alt:216;mso-char-wrap:0;mso-kinsok=
u-overflow:
 0;position:absolute;top:55.5%;left:5.24%;width:106.36%;height:6.0%'><span
 lang=3DEN-US style=3D'mso-fareast-font-family:\5B8B\4F53;mso-hansi-font-fa=
mily:
 Arial;font-size:156%;color:#003300;mso-fareast-language:ZH-CN'>Example B:<=
span
 style=3D'mso-spacerun:yes'>&nbsp; </span>Rewrite the exp-form into the
 log-form.&#13;</span></div>
 <div class=3DO style=3D'mso-margin-left-alt:216;mso-char-wrap:0;mso-kinsok=
u-overflow:
 0;position:absolute;top:61.5%;left:5.24%;width:90.63%;height:1.25%'><span
 lang=3DEN-US style=3D'font-family:\5B8B\4F53;mso-fareast-font-family:\5B8B=
\4F53;
 mso-hansi-font-family:Arial;font-size:28%;color:#003300;mso-fareast-langua=
ge:
 ZH-CN;display:none'>&#13;</span></div>
 <div class=3DO style=3D'mso-margin-left-alt:216;mso-char-wrap:0;mso-kinsok=
u-overflow:
 0;position:absolute;top:62.75%;left:5.24%;width:90.63%;height:6.0%'><span
 lang=3DEN-US style=3D'mso-fareast-font-family:\5B8B\4F53;mso-hansi-font-fa=
mily:
 Arial;font-size:156%;color:#003300;mso-fareast-language:ZH-CN'>a. 4</span>=
<span
 lang=3DEN-US style=3D'mso-fareast-font-family:\5B8B\4F53;mso-hansi-font-fa=
mily:
 Arial;font-size:103%;color:#003300;position:relative;top:-.45em;mso-text-r=
aise:
 30%;mso-fareast-language:ZH-CN'>2 </span><span lang=3DEN-US style=3D'mso-f=
areast-font-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:156%;color:#003300;
 mso-fareast-language:ZH-CN'><span style=3D'mso-spacerun:yes'>&nbsp;</span>=
=3D 16
 or exp</span><span lang=3DEN-US style=3D'mso-fareast-font-family:\5B8B\4F5=
3;
 mso-hansi-font-family:Arial;font-size:103%;color:#003300;position:relative;
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 lang=3DEN-US style=3D'mso-fareast-font-family:\5B8B\4F53;mso-hansi-font-fa=
mily:
 Arial;font-size:156%;color:#003300;mso-fareast-language:ZH-CN'>(2) =3D 16 =
&#13;</span></div>
 <div class=3DO style=3D'mso-margin-left-alt:216;mso-char-wrap:0;mso-kinsok=
u-overflow:
 0;position:absolute;top:69.5%;left:5.24%;width:90.63%;height:5.5%'><span
 lang=3DEN-US style=3D'font-family:\5B8B\4F53;mso-fareast-font-family:\5B8B=
\4F53;
 mso-hansi-font-family:Arial;font-size:156%;color:#003300;mso-fareast-langu=
age:
 ZH-CN;mso-special-format:lastCR;display:none'>&#13;</span></div>
 </div>
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sition:absolute;
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  v-text-anchor:top' filled=3D"f" fillcolor=3D"#bbe0e3 [4]" stroked=3D"f"
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  <v:fill color2=3D"white [0]"/>
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 </v:shape>
 <div v:shape=3D"_x0000_s272386" class=3DO style=3D'position:absolute;top:1=
.0%;
 left:25.09%;width:62.92%;height:6.75%'><span lang=3DEN-US style=3D'font-si=
ze:178%;
 mso-fareast-language:ZH-CN'>The Logarithmic Functions</span></div>
 <div v:shape=3D"_x0000_s272387" class=3DO style=3D'mso-char-wrap:0;mso-kin=
soku-overflow:
 0'><span style=3D'position:absolute;top:35.5%;left:5.24%;width:106.36%;
 height:6.0%'><span lang=3DEN-US style=3D'font-size:156%;mso-fareast-langua=
ge:ZH-CN'>When
 the relation is written as exp</span><span lang=3DEN-US style=3D'font-size=
:103%;
 position:relative;top:.37em;mso-text-raise:-25%;mso-fareast-language:ZH-CN=
'>b</span><span
 lang=3DEN-US style=3D'font-size:156%;mso-fareast-language:ZH-CN'>(x) =3D y=
 or b</span><span
 lang=3DEN-US style=3D'font-size:103%;position:relative;top:-.45em;mso-text=
-raise:
 30%;mso-fareast-language:ZH-CN'>x</span><span lang=3DEN-US style=3D'font-s=
ize:
 156%;mso-fareast-language:ZH-CN'><span style=3D'mso-spacerun:yes'>&nbsp;</=
span>=3D
 y,<span style=3D'mso-spacerun:yes'>&nbsp; </span></span></span><span
 style=3D'position:absolute;top:41.75%;left:5.24%;width:107.86%;height:6.0%=
'><span
 lang=3DEN-US style=3D'font-size:156%;mso-fareast-language:ZH-CN'>its calle=
d the
 exp-form. The form log</span><span lang=3DEN-US style=3D'font-size:103%;
 position:relative;top:.37em;mso-text-raise:-25%;mso-fareast-language:ZH-CN=
'>b</span><span
 lang=3DEN-US style=3D'font-size:156%;mso-fareast-language:ZH-CN'>(y) =3D x=
 is called
 </span></span><span style=3D'position:absolute;top:48.0%;left:5.24%;width:=
92.32%;
 height:6.0%'><span lang=3DEN-US style=3D'font-size:156%;mso-fareast-langua=
ge:ZH-CN'>the
 log-form.</span></span></div>
 <div v:shape=3D"_x0000_s272388" class=3DO style=3D'mso-char-wrap:0;mso-kin=
soku-overflow:
 0'><span style=3D'position:absolute;top:8.75%;left:5.24%;width:95.31%;
 height:6.0%'><span lang=3DEN-US style=3D'font-size:156%;mso-fareast-langua=
ge:ZH-CN'>Hence
 </span><span lang=3DEN-US style=3D'font-size:156%;color:red;mso-fareast-la=
nguage:
 ZH-CN'><i>log</i></span><span lang=3DEN-US style=3D'font-size:103%;color:r=
ed;
 position:relative;top:.37em;mso-text-raise:-25%;mso-fareast-language:ZH-CN=
'><i>b</i></span><span
 lang=3DEN-US style=3D'font-size:156%;color:red;mso-fareast-language:ZH-CN'=
><i>(y)
 is an exponent x</i></span><span lang=3DEN-US style=3D'font-size:156%;mso-=
fareast-language:
 ZH-CN'>, where x is the </span></span><span style=3D'position:absolute;
 top:15.0%;left:5.24%;width:90.63%;height:6.0%'><span lang=3DEN-US
 style=3D'font-size:156%;mso-fareast-language:ZH-CN'>exponent needed (with =
base
 b) to get y.<span style=3D'mso-spacerun:yes'>&nbsp; </span></span></span><=
/div>
 <div v:shape=3D"_x0000_s272389" class=3DO style=3D'mso-char-wrap:0;mso-kin=
soku-overflow:
 0'><span style=3D'position:absolute;top:23.25%;left:5.24%;width:110.29%;
 height:6.0%'><span lang=3DEN-US style=3D'font-size:156%;mso-fareast-langua=
ge:ZH-CN'>exp</span><span
 lang=3DEN-US style=3D'font-size:103%;position:relative;top:.37em;mso-text-=
raise:
 -25%;mso-fareast-language:ZH-CN'>b</span><span lang=3DEN-US style=3D'font-=
size:
 156%;mso-fareast-language:ZH-CN'>(x) =3D y and x =3D log</span><span lang=
=3DEN-US
 style=3D'font-size:103%;position:relative;top:.37em;mso-text-raise:-25%;
 mso-fareast-language:ZH-CN'>b</span><span lang=3DEN-US style=3D'font-size:=
156%;
 mso-fareast-language:ZH-CN'>(y) describe the same relation </span></span><=
span
 style=3D'position:absolute;top:29.49%;left:5.24%;width:94.0%;height:6.0%'>=
<span
 lang=3DEN-US style=3D'font-size:156%;mso-fareast-language:ZH-CN'>between t=
he
 numbers b, x and y.</span></span></div>
 <div v:shape=3D"_x0000_s272390">
 <div class=3DO1 style=3D'mso-margin-left-alt:504'></div>
 <div class=3DO2 style=3D'mso-margin-left-alt:792'></div>
 <div class=3DO3 style=3D'mso-margin-left-alt:1080'></div>
 <div class=3DO4 style=3D'mso-margin-left-alt:1368'></div>
 <div class=3DO style=3D'mso-margin-left-alt:216;mso-char-wrap:0;mso-kinsok=
u-overflow:
 0;position:absolute;top:55.5%;left:5.24%;width:106.36%;height:6.0%'><span
 lang=3DEN-US style=3D'mso-fareast-font-family:\5B8B\4F53;mso-hansi-font-fa=
mily:
 Arial;font-size:156%;color:#003300;mso-fareast-language:ZH-CN'>Example B:<=
span
 style=3D'mso-spacerun:yes'>&nbsp; </span>Rewrite the exp-form into the
 log-form.&#13;</span></div>
 <div class=3DO style=3D'mso-margin-left-alt:216;mso-char-wrap:0;mso-kinsok=
u-overflow:
 0;position:absolute;top:61.5%;left:5.24%;width:90.63%;height:1.25%'><span
 lang=3DEN-US style=3D'font-family:\5B8B\4F53;mso-fareast-font-family:\5B8B=
\4F53;
 mso-hansi-font-family:Arial;font-size:28%;color:#003300;mso-fareast-langua=
ge:
 ZH-CN;display:none'>&#13;</span></div>
 <div class=3DO style=3D'mso-margin-left-alt:216;mso-char-wrap:0;mso-kinsok=
u-overflow:
 0;position:absolute;top:62.75%;left:5.24%;width:90.63%;height:6.0%'><span
 lang=3DEN-US style=3D'mso-fareast-font-family:\5B8B\4F53;mso-hansi-font-fa=
mily:
 Arial;font-size:156%;color:#003300;mso-fareast-language:ZH-CN'>a. 4</span>=
<span
 lang=3DEN-US style=3D'mso-fareast-font-family:\5B8B\4F53;mso-hansi-font-fa=
mily:
 Arial;font-size:103%;color:#003300;position:relative;top:-.45em;mso-text-r=
aise:
 30%;mso-fareast-language:ZH-CN'>2 </span><span lang=3DEN-US style=3D'mso-f=
areast-font-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:156%;color:#003300;
 mso-fareast-language:ZH-CN'><span style=3D'mso-spacerun:yes'>&nbsp;</span>=
=3D 16
 or exp</span><span lang=3DEN-US style=3D'mso-fareast-font-family:\5B8B\4F5=
3;
 mso-hansi-font-family:Arial;font-size:103%;color:#003300;position:relative;
 top:.37em;mso-text-raise:-25%;mso-fareast-language:ZH-CN'>4</span><span
 lang=3DEN-US style=3D'mso-fareast-font-family:\5B8B\4F53;mso-hansi-font-fa=
mily:
 Arial;font-size:156%;color:#003300;mso-fareast-language:ZH-CN'>(2) =3D 16 =
&#13;</span></div>
 <div class=3DO style=3D'mso-margin-left-alt:216;mso-char-wrap:0;mso-kinsok=
u-overflow:
 0;position:absolute;top:69.0%;left:5.24%;width:90.63%;height:6.0%'><span
 lang=3DEN-US style=3D'mso-fareast-font-family:\5B8B\4F53;mso-hansi-font-fa=
mily:
 Arial;font-size:156%;color:#003300;mso-fareast-language:ZH-CN'>b.<span
 style=3D'mso-spacerun:yes'>&nbsp; </span>w =3D u</span><span lang=3DEN-US
 style=3D'mso-fareast-font-family:\5B8B\4F53;mso-hansi-font-family:Arial;
 font-size:103%;color:#003300;position:relative;top:-.45em;mso-text-raise:3=
0%;
 mso-fareast-language:ZH-CN'>2+v</span><span lang=3DEN-US style=3D'mso-fare=
ast-font-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:156%;color:#003300;
 mso-fareast-language:ZH-CN'><span style=3D'mso-spacerun:yes'>&nbsp;</span>=
or w =3D
 exp</span><span lang=3DEN-US style=3D'mso-fareast-font-family:\5B8B\4F53;
 mso-hansi-font-family:Arial;font-size:103%;color:#003300;position:relative;
 top:.37em;mso-text-raise:-25%;mso-fareast-language:ZH-CN'>u</span><span
 lang=3DEN-US style=3D'mso-fareast-font-family:\5B8B\4F53;mso-hansi-font-fa=
mily:
 Arial;font-size:156%;color:#003300;mso-fareast-language:ZH-CN'>(2 + v) </s=
pan></div>
 </div>
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.0%;
 left:25.09%;width:62.92%;height:6.75%'><span lang=3DEN-US style=3D'font-si=
ze:178%;
 mso-fareast-language:ZH-CN'>The Logarithmic Functions</span></div>
 <div v:shape=3D"_x0000_s192515" class=3DO style=3D'mso-char-wrap:0;mso-kin=
soku-overflow:
 0'><span style=3D'position:absolute;top:35.5%;left:5.24%;width:106.36%;
 height:6.0%'><span lang=3DEN-US style=3D'font-size:156%;mso-fareast-langua=
ge:ZH-CN'>When
 the relation is written as exp</span><span lang=3DEN-US style=3D'font-size=
:103%;
 position:relative;top:.37em;mso-text-raise:-25%;mso-fareast-language:ZH-CN=
'>b</span><span
 lang=3DEN-US style=3D'font-size:156%;mso-fareast-language:ZH-CN'>(x) =3D y=
 or b</span><span
 lang=3DEN-US style=3D'font-size:103%;position:relative;top:-.45em;mso-text=
-raise:
 30%;mso-fareast-language:ZH-CN'>x</span><span lang=3DEN-US style=3D'font-s=
ize:
 156%;mso-fareast-language:ZH-CN'><span style=3D'mso-spacerun:yes'>&nbsp;</=
span>=3D
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 style=3D'position:absolute;top:41.75%;left:5.24%;width:107.86%;height:6.0%=
'><span
 lang=3DEN-US style=3D'font-size:156%;mso-fareast-language:ZH-CN'>its calle=
d the
 exp-form. The form log</span><span lang=3DEN-US style=3D'font-size:103%;
 position:relative;top:.37em;mso-text-raise:-25%;mso-fareast-language:ZH-CN=
'>b</span><span
 lang=3DEN-US style=3D'font-size:156%;mso-fareast-language:ZH-CN'>(y) =3D x=
 is called
 </span></span><span style=3D'position:absolute;top:48.0%;left:5.24%;width:=
92.32%;
 height:6.0%'><span lang=3DEN-US style=3D'font-size:156%;mso-fareast-langua=
ge:ZH-CN'>the
 log-form.</span></span></div>
 <div v:shape=3D"_x0000_s192516" class=3DO style=3D'mso-char-wrap:0;mso-kin=
soku-overflow:
 0'><span style=3D'position:absolute;top:8.75%;left:5.24%;width:95.31%;
 height:6.0%'><span lang=3DEN-US style=3D'font-size:156%;mso-fareast-langua=
ge:ZH-CN'>Hence
 </span><span lang=3DEN-US style=3D'font-size:156%;color:red;mso-fareast-la=
nguage:
 ZH-CN'><i>log</i></span><span lang=3DEN-US style=3D'font-size:103%;color:r=
ed;
 position:relative;top:.37em;mso-text-raise:-25%;mso-fareast-language:ZH-CN=
'><i>b</i></span><span
 lang=3DEN-US style=3D'font-size:156%;color:red;mso-fareast-language:ZH-CN'=
><i>(y)
 is an exponent x</i></span><span lang=3DEN-US style=3D'font-size:156%;mso-=
fareast-language:
 ZH-CN'>, where x is the </span></span><span style=3D'position:absolute;
 top:15.0%;left:5.24%;width:90.63%;height:6.0%'><span lang=3DEN-US
 style=3D'font-size:156%;mso-fareast-language:ZH-CN'>exponent needed (with =
base
 b) to get y.<span style=3D'mso-spacerun:yes'>&nbsp; </span></span></span><=
/div>
 <div v:shape=3D"_x0000_s192517" class=3DO style=3D'mso-char-wrap:0;mso-kin=
soku-overflow:
 0'><span style=3D'position:absolute;top:23.25%;left:5.24%;width:110.29%;
 height:6.0%'><span lang=3DEN-US style=3D'font-size:156%;mso-fareast-langua=
ge:ZH-CN'>exp</span><span
 lang=3DEN-US style=3D'font-size:103%;position:relative;top:.37em;mso-text-=
raise:
 -25%;mso-fareast-language:ZH-CN'>b</span><span lang=3DEN-US style=3D'font-=
size:
 156%;mso-fareast-language:ZH-CN'>(x) =3D y and x =3D log</span><span lang=
=3DEN-US
 style=3D'font-size:103%;position:relative;top:.37em;mso-text-raise:-25%;
 mso-fareast-language:ZH-CN'>b</span><span lang=3DEN-US style=3D'font-size:=
156%;
 mso-fareast-language:ZH-CN'>(y) describe the same relation </span></span><=
span
 style=3D'position:absolute;top:29.49%;left:5.24%;width:94.0%;height:6.0%'>=
<span
 lang=3DEN-US style=3D'font-size:156%;mso-fareast-language:ZH-CN'>between t=
he
 numbers b, x and y.</span></span></div>
 <div v:shape=3D"_x0000_s192519">
 <div class=3DO1 style=3D'mso-margin-left-alt:504'></div>
 <div class=3DO2 style=3D'mso-margin-left-alt:792'></div>
 <div class=3DO3 style=3D'mso-margin-left-alt:1080'></div>
 <div class=3DO4 style=3D'mso-margin-left-alt:1368'></div>
 <div class=3DO style=3D'mso-margin-left-alt:216;mso-char-wrap:0;mso-kinsok=
u-overflow:
 0;position:absolute;top:77.5%;left:5.24%;width:106.74%;height:6.0%'><span
 lang=3DEN-US style=3D'mso-fareast-font-family:\5B8B\4F53;mso-hansi-font-fa=
mily:
 Arial;font-size:156%;color:#003300;mso-fareast-language:ZH-CN'>Example C:<=
span
 style=3D'mso-spacerun:yes'>&nbsp; </span>Rewrite the log-form into the
 exp-form.&#13;</span></div>
 <div class=3DO style=3D'mso-margin-left-alt:216;mso-char-wrap:0;mso-kinsok=
u-overflow:
 0;position:absolute;top:83.5%;left:5.24%;width:91.57%;height:1.25%'><span
 lang=3DEN-US style=3D'font-family:\5B8B\4F53;mso-fareast-font-family:\5B8B=
\4F53;
 mso-hansi-font-family:Arial;font-size:28%;color:#003300;mso-fareast-langua=
ge:
 ZH-CN;display:none'>&#13;</span></div>
 <div class=3DO style=3D'mso-margin-left-alt:216;mso-char-wrap:0;mso-kinsok=
u-overflow:
 0;position:absolute;top:84.75%;left:5.24%;width:92.13%;height:6.0%'><span
 lang=3DEN-US style=3D'mso-fareast-font-family:\5B8B\4F53;mso-hansi-font-fa=
mily:
 Arial;font-size:156%;color:#003300;mso-fareast-language:ZH-CN'>a. log</spa=
n><span
 lang=3DEN-US style=3D'mso-fareast-font-family:\5B8B\4F53;mso-hansi-font-fa=
mily:
 Arial;font-size:103%;color:#003300;position:relative;top:.37em;mso-text-ra=
ise:
 -25%;mso-fareast-language:ZH-CN'>3</span><span lang=3DEN-US style=3D'mso-f=
areast-font-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:156%;color:#003300;
 mso-fareast-language:ZH-CN'>(1/9) =3D -2 </span><span lang=3DEN-US
 style=3D'font-family:Wingdings;mso-fareast-font-family:\5B8B\4F53;mso-hans=
i-font-family:
 Arial;font-size:156%;color:#003300;mso-fareast-language:ZH-CN;mso-char-typ=
e:
 symbol'>&agrave;</span><span lang=3DEN-US style=3D'mso-fareast-font-family=
:\5B8B\4F53;
 mso-hansi-font-family:Arial;font-size:156%;color:#003300;mso-fareast-langu=
age:
 ZH-CN'> 1/9 =3D exp</span><span lang=3DEN-US style=3D'mso-fareast-font-fam=
ily:\5B8B\4F53;
 mso-hansi-font-family:Arial;font-size:103%;color:#003300;position:relative;
 top:.37em;mso-text-raise:-25%;mso-fareast-language:ZH-CN'>3</span><span
 lang=3DEN-US style=3D'mso-fareast-font-family:\5B8B\4F53;mso-hansi-font-fa=
mily:
 Arial;font-size:156%;color:#003300;mso-fareast-language:ZH-CN'>(-2) or 1/9=
 =3D 3</span><span
 lang=3DEN-US style=3D'mso-fareast-font-family:\5B8B\4F53;mso-hansi-font-fa=
mily:
 Arial;font-size:103%;color:#003300;position:relative;top:-.45em;mso-text-r=
aise:
 30%;mso-fareast-language:ZH-CN'>-2</span><span lang=3DEN-US style=3D'mso-f=
areast-font-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:156%;color:#003300;
 mso-fareast-language:ZH-CN'><span style=3D'mso-spacerun:yes'>&nbsp;</span>=
&#13;</span></div>
 <div class=3DO style=3D'mso-margin-left-alt:216;mso-char-wrap:0;mso-kinsok=
u-overflow:
 0;position:absolute;top:91.0%;left:5.24%;width:91.57%;height:6.0%'><span
 lang=3DEN-US style=3D'mso-fareast-font-family:\5B8B\4F53;mso-hansi-font-fa=
mily:
 Arial;font-size:156%;color:#003300;mso-fareast-language:ZH-CN'>b. 2w =3D l=
og</span><span
 lang=3DEN-US style=3D'mso-fareast-font-family:\5B8B\4F53;mso-hansi-font-fa=
mily:
 Arial;font-size:103%;color:#003300;position:relative;top:.37em;mso-text-ra=
ise:
 -25%;mso-fareast-language:ZH-CN'>v</span><span lang=3DEN-US style=3D'mso-f=
areast-font-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:156%;color:#003300;
 mso-fareast-language:ZH-CN'>(a &#8211; b)<span style=3D'mso-spacerun:yes'>=
&nbsp;
 </span></span><span lang=3DEN-US style=3D'font-family:\5B8B\4F53;mso-farea=
st-font-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:103%;color:#003300;
 position:relative;top:-.45em;mso-text-raise:30%;mso-fareast-language:ZH-CN;
 mso-special-format:lastCR;display:none'>&#13;</span></div>
 </div>
 <div v:shape=3D"_x0000_s192520">
 <div class=3DO1 style=3D'mso-margin-left-alt:504'></div>
 <div class=3DO2 style=3D'mso-margin-left-alt:792'></div>
 <div class=3DO3 style=3D'mso-margin-left-alt:1080'></div>
 <div class=3DO4 style=3D'mso-margin-left-alt:1368'></div>
 <div class=3DO style=3D'mso-margin-left-alt:216;mso-char-wrap:0;mso-kinsok=
u-overflow:
 0;position:absolute;top:55.5%;left:5.24%;width:106.36%;height:6.0%'><span
 lang=3DEN-US style=3D'mso-fareast-font-family:\5B8B\4F53;mso-hansi-font-fa=
mily:
 Arial;font-size:156%;color:#003300;mso-fareast-language:ZH-CN'>Example B:<=
span
 style=3D'mso-spacerun:yes'>&nbsp; </span>Rewrite the exp-form into the
 log-form.&#13;</span></div>
 <div class=3DO style=3D'mso-margin-left-alt:216;mso-char-wrap:0;mso-kinsok=
u-overflow:
 0;position:absolute;top:61.5%;left:5.24%;width:90.63%;height:1.25%'><span
 lang=3DEN-US style=3D'font-family:\5B8B\4F53;mso-fareast-font-family:\5B8B=
\4F53;
 mso-hansi-font-family:Arial;font-size:28%;color:#003300;mso-fareast-langua=
ge:
 ZH-CN;display:none'>&#13;</span></div>
 <div class=3DO style=3D'mso-margin-left-alt:216;mso-char-wrap:0;mso-kinsok=
u-overflow:
 0;position:absolute;top:62.75%;left:5.24%;width:90.63%;height:6.0%'><span
 lang=3DEN-US style=3D'mso-fareast-font-family:\5B8B\4F53;mso-hansi-font-fa=
mily:
 Arial;font-size:156%;color:#003300;mso-fareast-language:ZH-CN'>a. 4</span>=
<span
 lang=3DEN-US style=3D'mso-fareast-font-family:\5B8B\4F53;mso-hansi-font-fa=
mily:
 Arial;font-size:103%;color:#003300;position:relative;top:-.45em;mso-text-r=
aise:
 30%;mso-fareast-language:ZH-CN'>2 </span><span lang=3DEN-US style=3D'mso-f=
areast-font-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:156%;color:#003300;
 mso-fareast-language:ZH-CN'><span style=3D'mso-spacerun:yes'>&nbsp;</span>=
=3D 16
 or exp</span><span lang=3DEN-US style=3D'mso-fareast-font-family:\5B8B\4F5=
3;
 mso-hansi-font-family:Arial;font-size:103%;color:#003300;position:relative;
 top:.37em;mso-text-raise:-25%;mso-fareast-language:ZH-CN'>4</span><span
 lang=3DEN-US style=3D'mso-fareast-font-family:\5B8B\4F53;mso-hansi-font-fa=
mily:
 Arial;font-size:156%;color:#003300;mso-fareast-language:ZH-CN'>(2) =3D 16 =
</span><span
 lang=3DEN-US style=3D'font-family:Wingdings;mso-fareast-font-family:\5B8B\=
4F53;
 mso-hansi-font-family:Arial;font-size:156%;color:#003300;mso-fareast-langu=
age:
 ZH-CN;mso-char-type:symbol'>&agrave;</span><span lang=3DEN-US style=3D'mso=
-fareast-font-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:156%;color:#003300;
 mso-fareast-language:ZH-CN'><span style=3D'mso-spacerun:yes'>&nbsp;&nbsp;
 </span>2 =3D log</span><span lang=3DEN-US style=3D'mso-fareast-font-family=
:\5B8B\4F53;
 mso-hansi-font-family:Arial;font-size:103%;color:#003300;position:relative;
 top:.37em;mso-text-raise:-25%;mso-fareast-language:ZH-CN'>4</span><span
 lang=3DEN-US style=3D'mso-fareast-font-family:\5B8B\4F53;mso-hansi-font-fa=
mily:
 Arial;font-size:156%;color:#003300;mso-fareast-language:ZH-CN'>(16)&#13;</=
span></div>
 <div class=3DO style=3D'mso-margin-left-alt:216;mso-char-wrap:0;mso-kinsok=
u-overflow:
 0;position:absolute;top:69.0%;left:5.24%;width:95.88%;height:6.0%'><span
 lang=3DEN-US style=3D'mso-fareast-font-family:\5B8B\4F53;mso-hansi-font-fa=
mily:
 Arial;font-size:156%;color:#003300;mso-fareast-language:ZH-CN'>b.<span
 style=3D'mso-spacerun:yes'>&nbsp; </span>w =3D u</span><span lang=3DEN-US
 style=3D'mso-fareast-font-family:\5B8B\4F53;mso-hansi-font-family:Arial;
 font-size:103%;color:#003300;position:relative;top:-.45em;mso-text-raise:3=
0%;
 mso-fareast-language:ZH-CN'>2+v</span><span lang=3DEN-US style=3D'mso-fare=
ast-font-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:156%;color:#003300;
 mso-fareast-language:ZH-CN'><span style=3D'mso-spacerun:yes'>&nbsp;</span>=
or w =3D
 exp</span><span lang=3DEN-US style=3D'mso-fareast-font-family:\5B8B\4F53;
 mso-hansi-font-family:Arial;font-size:103%;color:#003300;position:relative;
 top:.37em;mso-text-raise:-25%;mso-fareast-language:ZH-CN'>u</span><span
 lang=3DEN-US style=3D'mso-fareast-font-family:\5B8B\4F53;mso-hansi-font-fa=
mily:
 Arial;font-size:156%;color:#003300;mso-fareast-language:ZH-CN'>(2 + v) </s=
pan><span
 lang=3DEN-US style=3D'font-family:Wingdings;mso-fareast-font-family:\5B8B\=
4F53;
 mso-hansi-font-family:Arial;font-size:156%;color:#003300;mso-fareast-langu=
age:
 ZH-CN;mso-char-type:symbol'>&agrave;</span><span lang=3DEN-US style=3D'mso=
-fareast-font-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:156%;color:#003300;
 mso-fareast-language:ZH-CN'> log</span><span lang=3DEN-US style=3D'mso-far=
east-font-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:103%;color:#003300;
 position:relative;top:.37em;mso-text-raise:-25%;mso-fareast-language:ZH-CN=
'>u</span><span
 lang=3DEN-US style=3D'mso-fareast-font-family:\5B8B\4F53;mso-hansi-font-fa=
mily:
 Arial;font-size:156%;color:#003300;mso-fareast-language:ZH-CN'>(w) =3D 2+v=
 </span></div>
 </div>
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 lang=3DEN-US style=3D'font-size:156%;mso-fareast-language:ZH-CN'>b</span><=
span
 lang=3DEN-US style=3D'font-size:103%;position:relative;top:-.45em;mso-text=
-raise:
 30%;mso-fareast-language:ZH-CN'>x </span><span lang=3DEN-US style=3D'font-=
size:
 156%;mso-fareast-language:ZH-CN'>=3D exp</span><span lang=3DEN-US
 style=3D'font-size:103%;position:relative;top:.37em;mso-text-raise:-25%;
 mso-fareast-language:ZH-CN'>b</span><span lang=3DEN-US style=3D'font-size:=
156%;
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 mso-special-format:lastCR;display:none'><i>&#13;</i></span></div>
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0%;
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ze:178%;
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t:
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N'>b</span><span
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156%;
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/span></span><span
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><span
 lang=3DEN-US style=3D'font-size:156%;color:red;mso-fareast-language:ZH-CN'=
><i>domain
 of log</i></span><span lang=3DEN-US style=3D'font-size:103%;color:red;posi=
tion:
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ze:178%;
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 <div v:shape=3D"_x0000_s198659" class=3DO style=3D'mso-char-wrap:0;mso-kin=
soku-overflow:
 0'><span style=3D'position:absolute;top:20.25%;left:3.55%;width:106.74%;
 height:6.0%'><span lang=3DEN-US style=3D'font-size:156%;mso-fareast-langua=
ge:ZH-CN'>For
 example, log</span><span lang=3DEN-US style=3D'font-size:103%;position:rel=
ative;
 top:.37em;mso-text-raise:-25%;mso-fareast-language:ZH-CN'>2</span><span
 lang=3DEN-US style=3D'font-size:156%;mso-fareast-language:ZH-CN'>(-1) does=
n't
 exist because there is </span></span><span style=3D'position:absolute;
 top:26.49%;left:3.55%;width:93.07%;height:6.0%'><span lang=3DEN-US
 style=3D'font-size:156%;mso-fareast-language:ZH-CN'>no exponent x such tha=
t 2</span><span
 lang=3DEN-US style=3D'font-size:103%;position:relative;top:-.45em;mso-text=
-raise:
 30%;mso-fareast-language:ZH-CN'>x</span><span lang=3DEN-US style=3D'font-s=
ize:
 156%;mso-fareast-language:ZH-CN'><span style=3D'mso-spacerun:yes'>&nbsp;</=
span>=3D
 -1. </span></span></div>
 <div v:shape=3D"_x0000_s198660" class=3DO style=3D'position:absolute;top:1=
.0%;
 left:25.09%;width:62.92%;height:6.75%'><span lang=3DEN-US style=3D'font-si=
ze:178%;
 mso-fareast-language:ZH-CN'>The Logarithmic Functions</span></div>
 <div v:shape=3D"_x0000_s198678" class=3DO style=3D'position:absolute;top:3=
3.75%;
 left:14.41%;width:85.95%;height:6.75%'><span lang=3DEN-US style=3D'font-si=
ze:178%;
 mso-fareast-language:ZH-CN'>Graphs of the Logarithmic Functions</span></di=
v>
 <div v:shape=3D"_x0000_s198680">
 <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div>
 <div class=3DTbl style=3D'mso-margin-left-alt:0'><span style=3D'position:a=
bsolute;
 top:88.0%;left:19.28%;width:9.73%;height:6.0%'><span lang=3DZH-CN
 style=3D'mso-ansi-language:EN-US;mso-special-format:lastCR;display:none'>&=
#13;</span></span></div>
 </div>
 <div v:shape=3D"_x0000_s198681">
 <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div>
 <div class=3DTbl style=3D'mso-margin-left-alt:0;position:absolute;top:88.0=
%;
 left:12.73%;width:4.86%;height:6.0%'><span lang=3DZH-CN style=3D'mso-ansi-=
language:
 EN-US'><span style=3D'mso-spacerun:yes'>&nbsp;</span>8</span></div>
 </div>
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 <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div>
 <div class=3DTbl style=3D'mso-margin-left-alt:0'><span style=3D'position:a=
bsolute;
 top:80.25%;left:19.28%;width:9.73%;height:6.0%'><span lang=3DZH-CN
 style=3D'mso-ansi-language:EN-US;mso-special-format:lastCR;display:none'>&=
#13;</span></span></div>
 </div>
 <div v:shape=3D"_x0000_s198683">
 <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div>
 <div class=3DTbl style=3D'mso-margin-left-alt:0;position:absolute;top:80.2=
5%;
 left:12.73%;width:4.86%;height:6.0%'><span lang=3DZH-CN style=3D'mso-ansi-=
language:
 EN-US'><span style=3D'mso-spacerun:yes'>&nbsp;</span>4</span></div>
 </div>
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 <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div>
 <div class=3DTbl style=3D'mso-margin-left-alt:0'><span style=3D'position:a=
bsolute;
 top:72.75%;left:19.28%;width:9.73%;height:6.0%'><span lang=3DZH-CN
 style=3D'mso-ansi-language:EN-US;mso-special-format:lastCR;display:none'>&=
#13;</span></span></div>
 </div>
 <div v:shape=3D"_x0000_s198685">
 <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div>
 <div class=3DTbl style=3D'mso-margin-left-alt:0;position:absolute;top:72.7=
5%;
 left:12.73%;width:4.86%;height:6.0%'><span lang=3DZH-CN style=3D'mso-ansi-=
language:
 EN-US'><span style=3D'mso-spacerun:yes'>&nbsp;</span>2</span></div>
 </div>
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 <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div>
 <div class=3DTbl style=3D'mso-margin-left-alt:0'><span style=3D'position:a=
bsolute;
 top:65.25%;left:19.28%;width:9.73%;height:6.0%'><span lang=3DZH-CN
 style=3D'mso-ansi-language:EN-US;mso-special-format:lastCR;display:none'>&=
#13;</span></span></div>
 </div>
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 <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div>
 <div class=3DTbl style=3D'mso-margin-left-alt:0;position:absolute;top:65.2=
5%;
 left:12.73%;width:4.86%;height:6.0%'><span lang=3DZH-CN style=3D'mso-ansi-=
language:
 EN-US'><span style=3D'mso-spacerun:yes'>&nbsp;</span>1</span></div>
 </div>
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 <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div>
 <div class=3DTbl style=3D'mso-margin-left-alt:0'><span style=3D'position:a=
bsolute;
 top:57.75%;left:19.28%;width:9.73%;height:6.0%'><span lang=3DZH-CN
 style=3D'mso-ansi-language:EN-US;mso-special-format:lastCR;display:none'>&=
#13;</span></span></div>
 </div>
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 <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div>
 <div class=3DTbl style=3D'mso-margin-left-alt:0;position:absolute;top:57.7=
5%;
 left:12.73%;width:5.8%;height:5.25%'><span lang=3DEN-US style=3D'font-size=
:86%;
 mso-fareast-language:ZH-CN'>1/2</span></div>
 </div>
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 <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div>
 <div class=3DTbl style=3D'mso-margin-left-alt:0'><span style=3D'position:a=
bsolute;
 top:50.25%;left:19.28%;width:9.73%;height:6.0%'><span lang=3DZH-CN
 style=3D'mso-ansi-language:EN-US;mso-special-format:lastCR;display:none'>&=
#13;</span></span></div>
 </div>
 <div v:shape=3D"_x0000_s198691">
 <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div>
 <div class=3DTbl style=3D'mso-margin-left-alt:0;position:absolute;top:50.0=
%;
 left:12.73%;width:5.8%;height:5.25%'><span lang=3DEN-US style=3D'font-size=
:86%;
 mso-fareast-language:ZH-CN'>1/4</span></div>
 </div>
 <div v:shape=3D"_x0000_s198702" class=3DO style=3D'position:absolute;top:4=
4.5%;
 left:14.41%;width:1.87%;height:4.0%'><span lang=3DEN-US style=3D'mso-farea=
st-language:
 ZH-CN'><b>x</b></span></div>
 <div v:shape=3D"_x0000_s198703" class=3DO style=3D'position:absolute;top:4=
4.5%;
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ast-language:
 ZH-CN'><b>y=3Dlog</b></span><span lang=3DEN-US style=3D'font-size:67%;posi=
tion:relative;
 top:.37em;mso-text-raise:-25%;mso-fareast-language:ZH-CN'><b>2</b></span><=
span
 lang=3DEN-US style=3D'mso-fareast-language:ZH-CN'><b>(x)</b></span></div>
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 </v:shape><![if !vml]><img border=3D0
 v:shapes=3D"_x0000_s203799,_x0000_s203800,_x0000_s203801,_x0000_s203802,_x=
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0000_s203808,_x0000_s203809,_x0000_s203810,_x0000_s203811,_x0000_s203812,_x=
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 src=3D"slide0150_image011.gif" style=3D'position:absolute;top:49.0%;left:1=
1.42%;
 width:18.91%;height:46.0%'><![endif]>
 <div v:shape=3D"_x0000_s203778" class=3DO style=3D'mso-char-wrap:0;mso-kin=
soku-overflow:
 0'><span style=3D'position:absolute;top:8.25%;left:3.55%;width:97.0%;heigh=
t:
 6.0%'><span lang=3DEN-US style=3D'font-size:156%;mso-fareast-language:ZH-C=
N'>b</span><span
 lang=3DEN-US style=3D'font-size:103%;position:relative;top:-.45em;mso-text=
-raise:
 30%;mso-fareast-language:ZH-CN'>x </span><span lang=3DEN-US style=3D'font-=
size:
 156%;mso-fareast-language:ZH-CN'>=3D exp</span><span lang=3DEN-US
 style=3D'font-size:103%;position:relative;top:.37em;mso-text-raise:-25%;
 mso-fareast-language:ZH-CN'>b</span><span lang=3DEN-US style=3D'font-size:=
156%;
 mso-fareast-language:ZH-CN'>(x) =3D y is positive for all x's. Hence the <=
/span></span><span
 style=3D'position:absolute;top:14.25%;left:3.55%;width:93.07%;height:6.0%'=
><span
 lang=3DEN-US style=3D'font-size:156%;color:red;mso-fareast-language:ZH-CN'=
><i>domain
 of log</i></span><span lang=3DEN-US style=3D'font-size:103%;color:red;posi=
tion:
 relative;top:.37em;mso-text-raise:-25%;mso-fareast-language:ZH-CN'><i>b</i=
></span><span
 lang=3DEN-US style=3D'font-size:156%;color:red;mso-fareast-language:ZH-CN'=
><i>(y)
 is the set of all y &gt; 0.</i></span></span></div>
 <div v:shape=3D"_x0000_s203779" class=3DO style=3D'mso-char-wrap:0;mso-kin=
soku-overflow:
 0'><span style=3D'position:absolute;top:20.25%;left:3.55%;width:106.74%;
 height:6.0%'><span lang=3DEN-US style=3D'font-size:156%;mso-fareast-langua=
ge:ZH-CN'>For
 example, log</span><span lang=3DEN-US style=3D'font-size:103%;position:rel=
ative;
 top:.37em;mso-text-raise:-25%;mso-fareast-language:ZH-CN'>2</span><span
 lang=3DEN-US style=3D'font-size:156%;mso-fareast-language:ZH-CN'>(-1) does=
n't
 exist because there is </span></span><span style=3D'position:absolute;
 top:26.49%;left:3.55%;width:93.07%;height:6.0%'><span lang=3DEN-US
 style=3D'font-size:156%;mso-fareast-language:ZH-CN'>no exponent x such tha=
t 2</span><span
 lang=3DEN-US style=3D'font-size:103%;position:relative;top:-.45em;mso-text=
-raise:
 30%;mso-fareast-language:ZH-CN'>x</span><span lang=3DEN-US style=3D'font-s=
ize:
 156%;mso-fareast-language:ZH-CN'><span style=3D'mso-spacerun:yes'>&nbsp;</=
span>=3D
 -1. </span></span></div>
 <div v:shape=3D"_x0000_s203780" class=3DO style=3D'position:absolute;top:1=
.0%;
 left:25.09%;width:62.92%;height:6.75%'><span lang=3DEN-US style=3D'font-si=
ze:178%;
 mso-fareast-language:ZH-CN'>The Logarithmic Functions</span></div>
 <div v:shape=3D"_x0000_s203798" class=3DO style=3D'position:absolute;top:3=
3.75%;
 left:14.41%;width:85.95%;height:6.75%'><span lang=3DEN-US style=3D'font-si=
ze:178%;
 mso-fareast-language:ZH-CN'>Graphs of the Logarithmic Functions</span></di=
v>
 <div v:shape=3D"_x0000_s203800">
 <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div>
 <div class=3DTbl style=3D'mso-margin-left-alt:0;position:absolute;top:88.0=
%;
 left:19.28%;width:9.73%;height:6.0%'><span lang=3DZH-CN style=3D'mso-ansi-=
language:
 EN-US'><span style=3D'mso-spacerun:yes'>&nbsp;&nbsp; </span>3</span></div>
 </div>
 <div v:shape=3D"_x0000_s203801">
 <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div>
 <div class=3DTbl style=3D'mso-margin-left-alt:0;position:absolute;top:88.0=
%;
 left:12.73%;width:4.86%;height:6.0%'><span lang=3DZH-CN style=3D'mso-ansi-=
language:
 EN-US'><span style=3D'mso-spacerun:yes'>&nbsp;</span>8</span></div>
 </div>
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 <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div>
 <div class=3DTbl style=3D'mso-margin-left-alt:0;position:absolute;top:80.2=
5%;
 left:19.28%;width:9.73%;height:6.0%'><span lang=3DZH-CN style=3D'mso-ansi-=
language:
 EN-US'><span style=3D'mso-spacerun:yes'>&nbsp;&nbsp; </span>2</span></div>
 </div>
 <div v:shape=3D"_x0000_s203803">
 <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div>
 <div class=3DTbl style=3D'mso-margin-left-alt:0;position:absolute;top:80.2=
5%;
 left:12.73%;width:4.86%;height:6.0%'><span lang=3DZH-CN style=3D'mso-ansi-=
language:
 EN-US'><span style=3D'mso-spacerun:yes'>&nbsp;</span>4</span></div>
 </div>
 <div v:shape=3D"_x0000_s203804">
 <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div>
 <div class=3DTbl style=3D'mso-margin-left-alt:0;position:absolute;top:72.7=
5%;
 left:19.28%;width:9.73%;height:6.0%'><span lang=3DZH-CN style=3D'mso-ansi-=
language:
 EN-US'><span style=3D'mso-spacerun:yes'>&nbsp;&nbsp; </span>1</span></div>
 </div>
 <div v:shape=3D"_x0000_s203805">
 <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div>
 <div class=3DTbl style=3D'mso-margin-left-alt:0;position:absolute;top:72.7=
5%;
 left:12.73%;width:4.86%;height:6.0%'><span lang=3DZH-CN style=3D'mso-ansi-=
language:
 EN-US'><span style=3D'mso-spacerun:yes'>&nbsp;</span>2</span></div>
 </div>
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 <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div>
 <div class=3DTbl style=3D'mso-margin-left-alt:0;position:absolute;top:65.2=
5%;
 left:19.28%;width:9.73%;height:6.0%'><span lang=3DZH-CN style=3D'mso-ansi-=
language:
 EN-US'><span style=3D'mso-spacerun:yes'>&nbsp;&nbsp; </span>0</span></div>
 </div>
 <div v:shape=3D"_x0000_s203807">
 <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div>
 <div class=3DTbl style=3D'mso-margin-left-alt:0;position:absolute;top:65.2=
5%;
 left:12.73%;width:4.86%;height:6.0%'><span lang=3DZH-CN style=3D'mso-ansi-=
language:
 EN-US'><span style=3D'mso-spacerun:yes'>&nbsp;</span>1</span></div>
 </div>
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 <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div>
 <div class=3DTbl style=3D'mso-margin-left-alt:0;position:absolute;top:57.7=
5%;
 left:19.28%;width:9.73%;height:6.0%'><span lang=3DZH-CN style=3D'mso-ansi-=
language:
 EN-US'><span style=3D'mso-spacerun:yes'>&nbsp; </span>-1</span></div>
 </div>
 <div v:shape=3D"_x0000_s203809">
 <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div>
 <div class=3DTbl style=3D'mso-margin-left-alt:0;position:absolute;top:57.7=
5%;
 left:12.73%;width:5.8%;height:5.25%'><span lang=3DEN-US style=3D'font-size=
:86%;
 mso-fareast-language:ZH-CN'>1/2</span></div>
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 <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div>
 <div class=3DTbl style=3D'mso-margin-left-alt:0;position:absolute;top:50.2=
5%;
 left:19.28%;width:9.73%;height:6.0%'><span lang=3DZH-CN style=3D'mso-ansi-=
language:
 EN-US'><span style=3D'mso-spacerun:yes'>&nbsp; </span>-2</span></div>
 </div>
 <div v:shape=3D"_x0000_s203811">
 <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div>
 <div class=3DTbl style=3D'mso-margin-left-alt:0;position:absolute;top:50.0=
%;
 left:12.73%;width:5.8%;height:5.25%'><span lang=3DEN-US style=3D'font-size=
:86%;
 mso-fareast-language:ZH-CN'>1/4</span></div>
 </div>
 <div v:shape=3D"_x0000_s203822" class=3DO style=3D'position:absolute;top:4=
4.5%;
 left:14.41%;width:1.87%;height:4.0%'><span lang=3DEN-US style=3D'mso-farea=
st-language:
 ZH-CN'><b>x</b></span></div>
 <div v:shape=3D"_x0000_s203823" class=3DO style=3D'position:absolute;top:4=
4.5%;
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ast-language:
 ZH-CN'><b>y=3Dlog</b></span><span lang=3DEN-US style=3D'font-size:67%;posi=
tion:relative;
 top:.37em;mso-text-raise:-25%;mso-fareast-language:ZH-CN'><b>2</b></span><=
span
 lang=3DEN-US style=3D'mso-fareast-language:ZH-CN'><b>(x)</b></span></div>
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  filled=3D"f" fillcolor=3D"#bbe0e3 [4]" stroked=3D"f" strokecolor=3D"black=
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3.29%;
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soku-overflow:
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</div>
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 style=3D'font-size:156%;mso-fareast-language:ZH-CN'>The most often used ba=
ses
 are 10 and e.&#13;</span></div>
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 top:77.75%;left:5.24%;width:89.88%;height:6.0%'><span lang=3DEN-US
 style=3D'font-size:156%;mso-fareast-language:ZH-CN'>Base 10 is called the =
</span><span
 lang=3DEN-US style=3D'font-size:156%;color:red;mso-fareast-language:ZH-CN'=
><i>common
 base</i></span><span lang=3DEN-US style=3D'font-size:156%;mso-fareast-lang=
uage:
 ZH-CN'><i>.</i></span><span lang=3DEN-US style=3D'font-size:156%;mso-farea=
st-language:
 ZH-CN;display:none'>&#13;</span></div>
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 top:83.75%;left:5.24%;width:89.88%;height:6.0%'><span lang=3DEN-US
 style=3D'font-size:156%;mso-fareast-language:ZH-CN'>Log with </span><span
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><i>base10</i></span><span
 lang=3DEN-US style=3D'font-size:156%;mso-fareast-language:ZH-CN'> is calle=
d the </span><span
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><i>common
 log</i></span><span lang=3DEN-US style=3D'font-size:103%;color:red;positio=
n:relative;
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pan></div>
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 top:90.0%;left:5.24%;width:99.43%;height:6.0%'><span lang=3DEN-US
 style=3D'font-size:156%;mso-fareast-language:ZH-CN'>It is written as </spa=
n><span
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><i>log(x)</i></span><span
 lang=3DEN-US style=3D'font-size:156%;mso-fareast-language:ZH-CN'> without =
the base
 number b. </span><span lang=3DEN-US style=3D'font-size:103%;position:relat=
ive;
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t:
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2.25%;
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ze:178%;
 mso-fareast-language:ZH-CN'>The Common Log and the Natural Log</span></div>
</p:slide></div>

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pt;
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 style=3D'font-size:156%;mso-fareast-language:ZH-CN'>Base e is called the <=
/span><span
 lang=3DEN-US style=3D'font-size:156%;color:red;mso-fareast-language:ZH-CN'=
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 base</i></span><span lang=3DEN-US style=3D'font-size:156%;mso-fareast-lang=
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 ZH-CN'>. &#13;</span></div>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:16.0%;left:5.05%;width:83.33%;height:6.0%'><span lang=3DEN-US
 style=3D'font-size:156%;mso-fareast-language:ZH-CN'>Log with </span><span
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 e</i></span><span lang=3DEN-US style=3D'font-size:156%;mso-fareast-languag=
e:ZH-CN'>
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N-US
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;</i></span></div>
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.75%;
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ze:178%;
 mso-fareast-language:ZH-CN'>The Common Log and the Natural Log</span></div>
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 style=3D'font-size:156%;mso-fareast-language:ZH-CN'>Base e is called the <=
/span><span
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 top:16.0%;left:5.05%;width:83.33%;height:6.0%'><span lang=3DEN-US
 style=3D'font-size:156%;mso-fareast-language:ZH-CN'>Log with </span><span
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><i>base
 e</i></span><span lang=3DEN-US style=3D'font-size:156%;mso-fareast-languag=
e:ZH-CN'>
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 mso-fareast-language:ZH-CN'><i>natural log</i></span><span lang=3DEN-US
 style=3D'font-size:156%;mso-fareast-language:ZH-CN'>.&#13;</span></div>
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 top:22.25%;left:5.05%;width:77.52%;height:6.0%'><span lang=3DEN-US
 style=3D'font-size:156%;mso-fareast-language:ZH-CN'>It is written as </spa=
n><span
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><i>ln(x)</i></span><span
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areast-language:
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t:
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.75%;
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reast-language:
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ZH-CN;
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5%;
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bsolute;
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bsolute;
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ast-font-family:
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F53;
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N-US
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5%;
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ze:86%;
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an
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5%;
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 src=3D"slide0165_image026.gif" style=3D'position:absolute;top:39.75%;left:=
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 width:50.56%;height:56.5%'><![endif]>
 <div v:shape=3D"_x0000_s227330" class=3DO>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:10.0%;left:5.05%;width:77.52%;height:6.0%'><span lang=3DEN-US
 style=3D'font-size:156%;mso-fareast-language:ZH-CN'>Base e is called the <=
/span><span
 lang=3DEN-US style=3D'font-size:156%;color:red;mso-fareast-language:ZH-CN'=
><i>natural
 base</i></span><span lang=3DEN-US style=3D'font-size:156%;mso-fareast-lang=
uage:
 ZH-CN'>. &#13;</span></div>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:16.0%;left:5.05%;width:83.33%;height:6.0%'><span lang=3DEN-US
 style=3D'font-size:156%;mso-fareast-language:ZH-CN'>Log with </span><span
 lang=3DEN-US style=3D'font-size:156%;color:red;mso-fareast-language:ZH-CN'=
><i>base
 e</i></span><span lang=3DEN-US style=3D'font-size:156%;mso-fareast-languag=
e:ZH-CN'>
 is called the </span><span lang=3DEN-US style=3D'font-size:156%;color:red;
 mso-fareast-language:ZH-CN'><i>natural log</i></span><span lang=3DEN-US
 style=3D'font-size:156%;mso-fareast-language:ZH-CN'>.&#13;</span></div>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:22.25%;left:5.05%;width:77.52%;height:6.0%'><span lang=3DEN-US
 style=3D'font-size:156%;mso-fareast-language:ZH-CN'>It is written as </spa=
n><span
 lang=3DEN-US style=3D'font-size:156%;color:red;mso-fareast-language:ZH-CN'=
><i>ln(x)</i></span><span
 lang=3DEN-US style=3D'font-size:156%;color:#009999;mso-color-index:6;mso-f=
areast-language:
 ZH-CN'><i>.</i></span><span lang=3DEN-US style=3D'font-size:103%;position:=
relative;
 top:.37em;mso-text-raise:-25%;mso-fareast-language:ZH-CN;mso-special-forma=
t:
 lastCR;display:none'><i>&#13;</i></span></div>
 </div>
 <div v:shape=3D"_x0000_s227331" class=3DO style=3D'position:absolute;top:1=
.75%;
 left:13.48%;width:91.01%;height:6.75%'><span lang=3DEN-US style=3D'font-si=
ze:178%;
 mso-fareast-language:ZH-CN'>The Common Log and the Natural Log</span></div>
 <div v:shape=3D"_x0000_s227332" class=3DO style=3D'mso-char-wrap:0;mso-kin=
soku-overflow:
 0;position:absolute;top:30.25%;left:5.24%;width:78.83%;height:6.0%'><span
 lang=3DEN-US style=3D'font-size:156%;color:#003300;mso-fareast-language:ZH=
-CN'>Example
 D: Convert to the other form.<span
 style=3D'mso-spacerun:yes'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp=
;&nbsp;&nbsp;
 </span></span></div>
 <div v:shape=3D"_x0000_s227334">
 <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div>
 <div class=3DTbl style=3D'mso-margin-left-alt:0;position:absolute;top:83.5=
%;
 left:50.56%;width:23.59%;height:5.25%'><span lang=3DEN-US style=3D'font-si=
ze:86%;
 color:#003300;mso-fareast-language:ZH-CN'>l</span><span lang=3DEN-US
 style=3D'mso-fareast-font-family:\5B8B\4F53;mso-hansi-font-family:Verdana;
 font-size:86%;color:#003300;mso-fareast-language:ZH-CN'>og</span><span
 lang=3DEN-US style=3D'font-size:86%;color:#003300;mso-fareast-language:ZH-=
CN'>(</span><span
 lang=3DEN-US style=3D'font-size:86%;color:red;mso-fareast-language:ZH-CN'>=
1</span><span
 lang=3DEN-US style=3D'font-size:86%;color:#003300;mso-fareast-language:ZH-=
CN'>) =3D</span><span
 lang=3DEN-US style=3D'font-size:86%;color:#009999;mso-color-index:6;mso-fa=
reast-language:
 ZH-CN'> </span><span lang=3DEN-US style=3D'font-size:86%;color:blue;mso-fa=
reast-language:
 ZH-CN'>0</span><span lang=3DEN-US style=3D'color:red;mso-fareast-language:=
ZH-CN;
 display:none'>&#13;</span></div>
 <div class=3DTbl style=3D'mso-margin-left-alt:0;position:absolute;top:89.7=
5%;
 left:50.56%;width:23.59%;height:5.25%'><span lang=3DEN-US style=3D'font-si=
ze:86%;
 color:blue;mso-fareast-language:ZH-CN;mso-special-format:lastCR;display:no=
ne'>&#13;</span></div>
 </div>
 <div v:shape=3D"_x0000_s227335">
 <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div>
 <div class=3DTbl style=3D'mso-margin-left-alt:0;position:absolute;top:83.5=
%;
 left:26.02%;width:22.65%;height:6.0%'><span lang=3DEN-US style=3D'color:#0=
03300;
 mso-fareast-language:ZH-CN'>10</span><span lang=3DEN-US style=3D'font-size=
:67%;
 color:blue;position:relative;top:-.45em;mso-text-raise:30%;mso-fareast-lan=
guage:
 ZH-CN'>0 </span><span lang=3DEN-US style=3D'color:#003300;mso-fareast-lang=
uage:
 ZH-CN'>=3D</span><span lang=3DEN-US style=3D'color:#009999;mso-color-index=
:6;
 mso-fareast-language:ZH-CN'> </span><span lang=3DEN-US style=3D'color:red;
 mso-fareast-language:ZH-CN'>1</span></div>
 </div>
 <div v:shape=3D"_x0000_s227336">
 <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div>
 <div class=3DTbl style=3D'mso-margin-left-alt:0;position:absolute;top:73.5=
%;
 left:50.56%;width:23.59%;height:5.25%'><span lang=3DEN-US style=3D'mso-far=
east-font-family:
 \5B8B\4F53;mso-hansi-font-family:Verdana;font-size:86%;color:#003300;
 mso-fareast-language:ZH-CN'>ln(<span
 style=3D'mso-spacerun:yes'>&nbsp;&nbsp;&nbsp; </span>) =3D</span><span lan=
g=3DEN-US
 style=3D'mso-fareast-font-family:\5B8B\4F53;mso-hansi-font-family:Verdana;
 font-size:86%;color:#009999;mso-color-index:6;mso-fareast-language:ZH-CN'>=
 </span><span
 lang=3DEN-US style=3D'mso-fareast-font-family:\5B8B\4F53;mso-hansi-font-fa=
mily:
 Verdana;font-size:86%;color:blue;mso-fareast-language:ZH-CN'>rt</span><span
 lang=3DEN-US style=3D'font-size:86%;color:blue;mso-fareast-language:ZH-CN;
 mso-special-format:lastCR;display:none'>&#13;</span></div>
 </div>
 <div v:shape=3D"_x0000_s227337">
 <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div>
 <div class=3DTbl style=3D'mso-margin-left-alt:0;position:absolute;top:73.5=
%;
 left:26.02%;width:22.65%;height:6.0%'><span lang=3DEN-US style=3D'mso-fare=
ast-font-family:
 \5B8B\4F53;mso-hansi-font-family:Verdana;color:#003300;mso-fareast-languag=
e:
 ZH-CN'>e</span><span lang=3DEN-US style=3D'mso-fareast-font-family:\5B8B\4=
F53;
 mso-hansi-font-family:Verdana;font-size:67%;color:blue;position:relative;
 top:-.45em;mso-text-raise:30%;mso-fareast-language:ZH-CN'>rt </span><span
 lang=3DEN-US style=3D'mso-fareast-font-family:\5B8B\4F53;mso-hansi-font-fa=
mily:
 Verdana;color:#003300;mso-fareast-language:ZH-CN'>=3D</span><span lang=3DE=
N-US
 style=3D'color:#003300;mso-fareast-language:ZH-CN;mso-special-format:lastC=
R;
 display:none'>&#13;</span></div>
 </div>
 <div v:shape=3D"_x0000_s227338">
 <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div>
 <div class=3DTbl style=3D'mso-margin-left-alt:0;position:absolute;top:61.2=
5%;
 left:50.56%;width:23.59%;height:5.25%'><span lang=3DEN-US style=3D'font-si=
ze:86%;
 color:#003300;mso-fareast-language:ZH-CN'>ln(</span><span lang=3DEN-US
 style=3D'font-size:86%;color:red;mso-fareast-language:ZH-CN'>1/e</span><sp=
an
 lang=3DEN-US style=3D'font-size:57%;color:red;position:relative;top:-.45em;
 mso-text-raise:30%;mso-fareast-language:ZH-CN'>2</span><span lang=3DEN-US
 style=3D'font-size:86%;color:#003300;mso-fareast-language:ZH-CN'>) =3D</sp=
an><span
 lang=3DEN-US style=3D'font-size:86%;color:#009999;mso-color-index:6;mso-fa=
reast-language:
 ZH-CN'> </span><span lang=3DEN-US style=3D'font-size:86%;color:blue;mso-fa=
reast-language:
 ZH-CN'>-2</span></div>
 </div>
 <div v:shape=3D"_x0000_s227339">
 <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div>
 <div class=3DTbl style=3D'mso-margin-left-alt:0;position:absolute;top:61.2=
5%;
 left:26.02%;width:22.65%;height:6.0%'><span lang=3DEN-US style=3D'color:#0=
03300;
 mso-fareast-language:ZH-CN'>e</span><span lang=3DEN-US style=3D'font-size:=
67%;
 color:blue;position:relative;top:-.45em;mso-text-raise:30%;mso-fareast-lan=
guage:
 ZH-CN'>-2 </span><span lang=3DEN-US style=3D'color:#003300;mso-fareast-lan=
guage:
 ZH-CN'>=3D</span><span lang=3DEN-US style=3D'color:#009999;mso-color-index=
:6;
 mso-fareast-language:ZH-CN'> </span><span lang=3DEN-US style=3D'color:red;
 mso-fareast-language:ZH-CN'>1/e</span><span lang=3DEN-US style=3D'font-siz=
e:67%;
 color:red;position:relative;top:-.45em;mso-text-raise:30%;mso-fareast-lang=
uage:
 ZH-CN'>2</span><span lang=3DEN-US style=3D'color:red;mso-fareast-language:=
ZH-CN;
 mso-special-format:lastCR;display:none'>&#13;</span></div>
 </div>
 <div v:shape=3D"_x0000_s227340">
 <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div>
 <div class=3DTbl style=3D'mso-margin-left-alt:0;position:absolute;top:50.2=
5%;
 left:50.56%;width:23.97%;height:5.25%'><span lang=3DEN-US style=3D'font-si=
ze:86%;
 color:#003300;mso-fareast-language:ZH-CN'>log(</span><span lang=3DEN-US
 style=3D'font-size:86%;color:red;mso-fareast-language:ZH-CN'>1000</span><s=
pan
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 <div class=3DTbl style=3D'mso-margin-left-alt:0;position:absolute;top:50.2=
5%;
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03300;
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guage:
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uage:
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:6;
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 <div v:shape=3D"_x0000_s227342">
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%;
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03300;
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%;
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03300;
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soku-overflow:
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soku-overflow:
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E:
 Solve for x&#13;</span></div>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:30.25%;left:5.24%;width:39.51%;height:1.5%'><span lang=3DEN-US
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span><span
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37em;
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-1&#13;</span></div>
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 style=3D'font-size:28%;color:#003300;mso-fareast-language:ZH-CN;display:no=
ne'>&#13;</span></div>
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 top:39.25%;left:5.24%;width:39.51%;height:6.0%'><span lang=3DEN-US
 style=3D'font-size:156%;color:#003300;mso-fareast-language:ZH-CN;display:n=
one'>&#13;</span></div>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:45.5%;left:5.24%;width:39.51%;height:6.0%'><span lang=3DEN-US
 style=3D'font-size:156%;color:#003300;mso-fareast-language:ZH-CN'>b. log</=
span><span
 lang=3DEN-US style=3D'font-size:103%;color:#003300;position:relative;top:.=
37em;
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-2 </span></div>
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 style=3D'font-size:156%;mso-fareast-language:ZH-CN'>When we change the log=
-form
 into the exp-form, &#13;</span></div>
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 style=3D'font-size:156%;mso-fareast-language:ZH-CN'>we say we &quot;drop t=
he
 log&quot;. </span><span lang=3DEN-US style=3D'font-size:103%;position:rela=
tive;
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.75%;
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ze:178%;
 mso-fareast-language:ZH-CN'>The Common Log and the Natural Log</span></div>
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E:
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span><span
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37em;
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-1&#13;</span></div>
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 log
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3300;
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ne'>&#13;</span></div>
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37em;
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he
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ze:178%;
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E:
 Solve for x&#13;</span></div>
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3300;
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 lang=3DEN-US style=3D'font-size:156%;color:#003300;mso-fareast-language:ZH=
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ne'>&#13;</span></div>
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span><span
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37em;
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 <div v:shape=3D"_x0000_s233474" class=3DO>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:24.25%;left:5.24%;width:92.32%;height:6.0%'><span lang=3DEN-US
 style=3D'font-size:156%;color:#003300;mso-fareast-language:ZH-CN'>Example =
E:
 Solve for x&#13;</span></div>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:30.25%;left:5.24%;width:92.32%;height:1.5%'><span lang=3DEN-US
 style=3D'font-size:33%;color:#003300;mso-fareast-language:ZH-CN;display:no=
ne'>&#13;</span></div>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:31.75%;left:5.24%;width:92.32%;height:6.0%'><span lang=3DEN-US
 style=3D'font-size:156%;color:#003300;mso-fareast-language:ZH-CN'>a. log</=
span><span
 lang=3DEN-US style=3D'font-size:103%;color:#003300;position:relative;top:.=
37em;
 mso-text-raise:-25%;mso-fareast-language:ZH-CN'>9</span><span lang=3DEN-US
 style=3D'font-size:156%;color:#003300;mso-fareast-language:ZH-CN'>(x) =3D =
-1&#13;</span></div>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:38.0%;left:5.24%;width:92.32%;height:6.0%'><span lang=3DEN-US
 style=3D'font-size:156%;color:#003300;mso-fareast-language:ZH-CN'>Drop the=
 log
 and get x =3D 9</span><span lang=3DEN-US style=3D'font-size:103%;color:#00=
3300;
 position:relative;top:-.45em;mso-text-raise:30%;mso-fareast-language:ZH-CN=
'>-1</span><span
 lang=3DEN-US style=3D'font-size:156%;color:#003300;mso-fareast-language:ZH=
-CN'>.
 So x =3D 1/9&#13;</span></div>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:44.0%;left:5.24%;width:92.32%;height:1.25%'><span lang=3DEN-US
 style=3D'font-size:28%;color:#003300;mso-fareast-language:ZH-CN;display:no=
ne'>&#13;</span></div>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:45.5%;left:5.24%;width:92.32%;height:6.0%'><span lang=3DEN-US
 style=3D'font-size:156%;color:#003300;mso-fareast-language:ZH-CN'>b. log</=
span><span
 lang=3DEN-US style=3D'font-size:103%;color:#003300;position:relative;top:.=
37em;
 mso-text-raise:-25%;mso-fareast-language:ZH-CN'>x</span><span lang=3DEN-US
 style=3D'font-size:156%;color:#003300;mso-fareast-language:ZH-CN'>(9) =3D =
-2 &#13;</span></div>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:51.5%;left:5.24%;width:92.32%;height:1.5%'><span lang=3DEN-US
 style=3D'font-size:33%;color:#003300;mso-fareast-language:ZH-CN;display:no=
ne'>&#13;</span></div>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:52.99%;left:5.24%;width:92.32%;height:6.0%'><span lang=3DEN-US
 style=3D'font-size:156%;color:#003300;mso-fareast-language:ZH-CN'>Drop the=
 log
 and get 9 =3D x</span><span lang=3DEN-US style=3D'font-size:103%;color:#00=
3300;
 position:relative;top:-.45em;mso-text-raise:30%;mso-fareast-language:ZH-CN=
'>-2</span><span
 lang=3DEN-US style=3D'font-size:156%;color:#003300;mso-fareast-language:ZH=
-CN'>,
 i.e. 9 =3D<span style=3D'mso-spacerun:yes'>&nbsp; </span>&#13;</span></div>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:59.24%;left:5.24%;width:92.32%;height:6.0%'><span lang=3DEN-US
 style=3D'font-size:156%;color:#003300;mso-fareast-language:ZH-CN'>So 9x</s=
pan><span
 lang=3DEN-US style=3D'font-size:103%;color:#003300;position:relative;top:-=
.45em;
 mso-text-raise:30%;mso-fareast-language:ZH-CN'>2</span><span lang=3DEN-US
 style=3D'font-size:156%;color:#003300;mso-fareast-language:ZH-CN'><span
 style=3D'mso-spacerun:yes'>&nbsp;</span>=3D 1<span style=3D'mso-spacerun:y=
es'>&nbsp;
 </span>&#13;</span></div>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:65.5%;left:5.24%;width:92.32%;height:6.0%'><span lang=3DEN-US
 style=3D'font-size:156%;color:#003300;mso-fareast-language:ZH-CN'><span
 style=3D'mso-spacerun:yes'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span>x</span><=
span
 lang=3DEN-US style=3D'font-size:103%;color:#003300;position:relative;top:-=
.45em;
 mso-text-raise:30%;mso-fareast-language:ZH-CN'>2 </span><span lang=3DEN-US
 style=3D'font-size:156%;color:#003300;mso-fareast-language:ZH-CN'>=3D 1/9<=
span
 style=3D'mso-spacerun:yes'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
 </span>&#13;</span></div>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:71.75%;left:5.24%;width:92.32%;height:6.0%'><span lang=3DEN-US
 style=3D'font-size:156%;color:#003300;mso-fareast-language:ZH-CN'><span
 style=3D'mso-spacerun:yes'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span>x=3D1/3 o=
r x=3D-1/3</span></div>
 </div>
 <div v:shape=3D"_x0000_s233475" class=3DO style=3D'mso-char-wrap:0;mso-kin=
soku-overflow:
 0;position:absolute;top:50.5%;left:68.53%;width:2.8%;height:5.75%'><span
 lang=3DEN-US style=3D'font-family:Verdana;font-size:133%;color:#003300;mso=
-fareast-language:
 ZH-CN'>1</span></div>
 <div v:shape=3D"_x0000_s233476" class=3DO style=3D'mso-char-wrap:0;mso-kin=
soku-overflow:
 0;position:absolute;top:56.0%;left:68.53%;width:4.3%;height:5.75%'><span
 lang=3DEN-US style=3D'font-family:Verdana;font-size:133%;color:#003300;mso=
-fareast-language:
 ZH-CN'>x</span><span lang=3DEN-US style=3D'font-family:Verdana;font-size:8=
9%;
 color:#003300;position:relative;top:-.45em;mso-text-raise:30%;mso-fareast-=
language:
 ZH-CN'>2</span><span lang=3DEN-US style=3D'font-family:Verdana;font-size:1=
33%;
 color:#003300;mso-fareast-language:ZH-CN;mso-special-format:lastCR;display:
 none'>&#13;</span></div>
 <v:line id=3D"_x0000_s233477" style=3D'position:absolute' from=3D"486pt,30=
5pt" to=3D"522pt,305pt"
  strokecolor=3D"black [1]" strokeweight=3D"3pt">
  <v:shadow color=3D"gray [2]"/>
 </v:line><![if !vml]><img border=3D0 v:shapes=3D"_x0000_s233477"
 src=3D"slide0171_image119.gif" style=3D'position:absolute;top:56.25%;left:=
67.22%;
 width:5.8%;height:1.0%'><![endif]><v:rect id=3D"_x0000_s233478" style=3D'p=
osition:absolute;
  left:384pt;top:197pt;width:156pt;height:48pt;mso-wrap-style:none;
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  top:3.25pt;width:559.5pt;height:45.625pt;mso-wrap-style:none;v-text-ancho=
r:top-baseline'
  filled=3D"f" fillcolor=3D"#bbe0e3 [4]" stroked=3D"f" strokecolor=3D"black=
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  <v:fill color2=3D"white [0]"/>
  <v:shadow color=3D"gray [2]"/>
  <v:textbox style=3D'mso-fit-shape-to-text:t'/>
 </v:rect><![if !vml]><img border=3D0 v:shapes=3D"_x0000_s233478"
 src=3D"slide0171_image120.gif" style=3D'position:absolute;top:36.5%;left:5=
3.37%;
 width:22.09%;height:9.5%'><![endif]>
 <div v:shape=3D"_x0000_s233480" class=3DO>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:9.75%;left:5.05%;width:100.18%;height:6.0%'><span lang=3DEN-US
 style=3D'font-size:156%;mso-fareast-language:ZH-CN'>When we change the log=
-form
 into the exp-form, &#13;</span></div>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:16.0%;left:5.05%;width:91.57%;height:6.0%'><span lang=3DEN-US
 style=3D'font-size:156%;mso-fareast-language:ZH-CN'>we say we &quot;drop t=
he
 log&quot;. </span><span lang=3DEN-US style=3D'font-size:103%;position:rela=
tive;
 top:.37em;mso-text-raise:-25%;mso-fareast-language:ZH-CN;mso-special-forma=
t:
 lastCR;display:none'><i>&#13;</i></span></div>
 </div>
 <div v:shape=3D"_x0000_s233481" class=3DO style=3D'position:absolute;top:1=
.75%;
 left:13.48%;width:91.01%;height:6.75%'><span lang=3DEN-US style=3D'font-si=
ze:178%;
 mso-fareast-language:ZH-CN'>The Common Log and the Natural Log</span></div>
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 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
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 style=3D'font-size:156%;color:#003300;mso-fareast-language:ZH-CN'>Example =
E:
 Solve for x&#13;</span></div>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:30.25%;left:5.24%;width:92.32%;height:1.5%'><span lang=3DEN-US
 style=3D'font-size:33%;color:#003300;mso-fareast-language:ZH-CN;display:no=
ne'>&#13;</span></div>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:31.75%;left:5.24%;width:92.32%;height:6.0%'><span lang=3DEN-US
 style=3D'font-size:156%;color:#003300;mso-fareast-language:ZH-CN'>a. log</=
span><span
 lang=3DEN-US style=3D'font-size:103%;color:#003300;position:relative;top:.=
37em;
 mso-text-raise:-25%;mso-fareast-language:ZH-CN'>9</span><span lang=3DEN-US
 style=3D'font-size:156%;color:#003300;mso-fareast-language:ZH-CN'>(x) =3D =
-1&#13;</span></div>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:38.0%;left:5.24%;width:92.32%;height:6.0%'><span lang=3DEN-US
 style=3D'font-size:156%;color:#003300;mso-fareast-language:ZH-CN'>Drop the=
 log
 and get x =3D 9</span><span lang=3DEN-US style=3D'font-size:103%;color:#00=
3300;
 position:relative;top:-.45em;mso-text-raise:30%;mso-fareast-language:ZH-CN=
'>-1</span><span
 lang=3DEN-US style=3D'font-size:156%;color:#003300;mso-fareast-language:ZH=
-CN'>.
 So x =3D 1/9&#13;</span></div>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:44.0%;left:5.24%;width:92.32%;height:1.25%'><span lang=3DEN-US
 style=3D'font-size:28%;color:#003300;mso-fareast-language:ZH-CN;display:no=
ne'>&#13;</span></div>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:45.5%;left:5.24%;width:92.32%;height:6.0%'><span lang=3DEN-US
 style=3D'font-size:156%;color:#003300;mso-fareast-language:ZH-CN'>b. log</=
span><span
 lang=3DEN-US style=3D'font-size:103%;color:#003300;position:relative;top:.=
37em;
 mso-text-raise:-25%;mso-fareast-language:ZH-CN'>x</span><span lang=3DEN-US
 style=3D'font-size:156%;color:#003300;mso-fareast-language:ZH-CN'>(9) =3D =
-2 &#13;</span></div>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:51.5%;left:5.24%;width:92.32%;height:1.5%'><span lang=3DEN-US
 style=3D'font-size:33%;color:#003300;mso-fareast-language:ZH-CN;display:no=
ne'>&#13;</span></div>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:52.99%;left:5.24%;width:92.32%;height:6.0%'><span lang=3DEN-US
 style=3D'font-size:156%;color:#003300;mso-fareast-language:ZH-CN'>Drop the=
 log
 and get 9 =3D x</span><span lang=3DEN-US style=3D'font-size:103%;color:#00=
3300;
 position:relative;top:-.45em;mso-text-raise:30%;mso-fareast-language:ZH-CN=
'>-2</span><span
 lang=3DEN-US style=3D'font-size:156%;color:#003300;mso-fareast-language:ZH=
-CN'>,
 i.e. 9 =3D<span style=3D'mso-spacerun:yes'>&nbsp; </span>&#13;</span></div>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:59.24%;left:5.24%;width:92.32%;height:6.0%'><span lang=3DEN-US
 style=3D'font-size:156%;color:#003300;mso-fareast-language:ZH-CN'>So 9x</s=
pan><span
 lang=3DEN-US style=3D'font-size:103%;color:#003300;position:relative;top:-=
.45em;
 mso-text-raise:30%;mso-fareast-language:ZH-CN'>2</span><span lang=3DEN-US
 style=3D'font-size:156%;color:#003300;mso-fareast-language:ZH-CN'><span
 style=3D'mso-spacerun:yes'>&nbsp;</span>=3D 1<span style=3D'mso-spacerun:y=
es'>&nbsp;
 </span>&#13;</span></div>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:65.5%;left:5.24%;width:92.32%;height:6.0%'><span lang=3DEN-US
 style=3D'font-size:156%;color:#003300;mso-fareast-language:ZH-CN'><span
 style=3D'mso-spacerun:yes'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span>x</span><=
span
 lang=3DEN-US style=3D'font-size:103%;color:#003300;position:relative;top:-=
.45em;
 mso-text-raise:30%;mso-fareast-language:ZH-CN'>2 </span><span lang=3DEN-US
 style=3D'font-size:156%;color:#003300;mso-fareast-language:ZH-CN'>=3D 1/9<=
span
 style=3D'mso-spacerun:yes'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
 </span>&#13;</span></div>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:71.75%;left:5.24%;width:92.32%;height:6.0%'><span lang=3DEN-US
 style=3D'font-size:156%;color:#003300;mso-fareast-language:ZH-CN'><span
 style=3D'mso-spacerun:yes'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span>x=3D1/3 or
 x=3D-1/3&#13;</span></div>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0'><span style=3D'posit=
ion:
 absolute;top:78.0%;left:5.24%;width:107.3%;height:6.0%'><span lang=3DEN-US
 style=3D'font-size:156%;color:#003300;mso-fareast-language:ZH-CN'>But the =
base
 has to be positive, hence x =3D 1/3 is the </span></span><span style=3D'po=
sition:
 absolute;top:84.0%;left:5.24%;width:92.32%;height:6.0%'><span lang=3DEN-US
 style=3D'font-size:156%;color:#003300;mso-fareast-language:ZH-CN'>only sol=
ution.</span></span></div>
 </div>
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soku-overflow:
 0;position:absolute;top:50.5%;left:68.53%;width:2.8%;height:5.75%'><span
 lang=3DEN-US style=3D'font-family:Verdana;font-size:133%;color:#003300;mso=
-fareast-language:
 ZH-CN'>1</span></div>
 <div v:shape=3D"_x0000_s237572" class=3DO style=3D'mso-char-wrap:0;mso-kin=
soku-overflow:
 0;position:absolute;top:56.0%;left:68.53%;width:4.3%;height:5.75%'><span
 lang=3DEN-US style=3D'font-family:Verdana;font-size:133%;color:#003300;mso=
-fareast-language:
 ZH-CN'>x</span><span lang=3DEN-US style=3D'font-family:Verdana;font-size:8=
9%;
 color:#003300;position:relative;top:-.45em;mso-text-raise:30%;mso-fareast-=
language:
 ZH-CN'>2</span><span lang=3DEN-US style=3D'font-family:Verdana;font-size:1=
33%;
 color:#003300;mso-fareast-language:ZH-CN;mso-special-format:lastCR;display:
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r:top-baseline'
  filled=3D"f" fillcolor=3D"#bbe0e3 [4]" stroked=3D"f" strokecolor=3D"black=
 [1]">
  <v:fill color2=3D"white [0]"/>
  <v:shadow color=3D"gray [2]"/>
  <v:textbox style=3D'mso-fit-shape-to-text:t'/>
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 <div v:shape=3D"_x0000_s237575" class=3DO>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:9.75%;left:5.05%;width:100.18%;height:6.0%'><span lang=3DEN-US
 style=3D'font-size:156%;mso-fareast-language:ZH-CN'>When we change the log=
-form
 into the exp-form, &#13;</span></div>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:16.0%;left:5.05%;width:91.57%;height:6.0%'><span lang=3DEN-US
 style=3D'font-size:156%;mso-fareast-language:ZH-CN'>we say we &quot;drop t=
he
 log&quot;. </span><span lang=3DEN-US style=3D'font-size:103%;position:rela=
tive;
 top:.37em;mso-text-raise:-25%;mso-fareast-language:ZH-CN;mso-special-forma=
t:
 lastCR;display:none'><i>&#13;</i></span></div>
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.75%;
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ze:178%;
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------=_NextPart_01C8F332.D597D130
Content-Location: file:///C:/89565D6D/5IntroductiontoLogarithm_files/script.js
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var g_animUseRuntime =3D false;
var g_animItemsToHide, g_animInteractiveItems, g_animSlideTime;
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var ENDSHOW_MESG=3D"End of slide show, click to exit.", SCREEN_MODE=3D"Fram=
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var gCurSld =3D gPrevSld =3D 1, g_offset =3D 0, gNtsOpen =3D gHasNts =3D gO=
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function Redirect( frmId )
{=09
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		return 1
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}

var MHTMLPrefix =3D CalculateMHTMLPrefix();=20
function CalculateMHTMLPrefix()
{
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		else=20
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function UpdNtsPane(){ if(frames["PPTNts"]) PPTNts.location.replace( MHTMLP=
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function UpdNavPane( sldIndex ){ if(gNavLoaded) PPTNav.UpdNav() }

function UpdOtNavPane(){ if(gOtlNavLoaded) PPTOtlNav.UpdOtlNav() }

function UpdOtlPane(){ if(gOtlLoaded) PPTOtl.UpdOtl() }

function SetHasNts( fVal )
{
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}

function ToggleOtlText()
{
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function FullScreen()
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function ToggleVNarration()
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function GetCurSldNum()
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	else  =20
		return gCurSld
}

function GetNumSlds()
{  =20
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}

function GetSldNum( href )
{
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			return ii+1
	}
	return 1
}

function GetHrefObj( sldIdx ){ return GetSldList().mList[sldIdx-1] }

function IsFramesMode(){ return ( SCREEN_MODE =3D=3D "Frames" ) }

function IsFullScrMode(){ return ( SCREEN_MODE =3D=3D "FullScreen" ) }

function GoToNextSld()
{
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			obj.mVis=3D1
			GoToSldNum(ii)
			return
		}
	}
	else {
		obj=3DGetHrefObj( ii )
		while ( obj && ( obj.mOrigVis =3D=3D 0 ) )
			obj=3DGetHrefObj(++ii)
		if( obj && obj.mOrigVis ) {
			GoToSldNum(ii)
			return
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                else
			EndShow()
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}

function GoToPrevSld()
{
	ii=3DgCurSld-1
	if( ii > 0 ) {
		obj=3DGetHrefObj(ii)
		while ( obj && ( obj.mVis =3D=3D 0 ) && ( ii>0 ) )
			obj=3DGetHrefObj(--ii)
        if( ii =3D=3D 0 ) ii=3D1
		GoToSldNum(ii)
	}
}

function GoToFirst(){ GoToSld( GetHrefObj(1).mSldHref ) }

function GoToLast()
{
	ii=3DGetSldList().mList.length
	if( ii !=3D gCurSld )
		GoToSld( GetHrefObj(ii).mSldHref )
}

function GoToSldNum( num )
{
	if( PPTSld.event ) PPTSld.event.cancelBubble=3Dtrue
	obj =3D GetHrefObj( num )
	obj.mVis=3D1
	gPrevSld=3DgCurSld
	gCurSld =3D num;
=09
	if (MHTMLPrefix !=3D "")
		PPTSld.location.replace(MHTMLPrefix+RemoveFilePrefixFromHref(obj.mSldHref=
))
	else
		PPTSld.location.replace(obj.mSldHref)
	=09
	if( IsFramesMode() ) {
		UpdNavPane(); UpdOtlPane(); UpdNtsPane()
	}
}

function GoToSld( href )
{
	if( PPTSld.event ) PPTSld.event.cancelBubble=3Dtrue
	GetHrefObj( GetSldNum(href) ).mVis=3D1
	if (MHTMLPrefix !=3D "")
		PPTSld.location.replace(MHTMLPrefix+RemoveFilePrefixFromHref(href))
	else
		PPTSld.location.replace(href)
}

function SldUpdated( id )
{
	if( id =3D=3D GetHrefObj(gCurSld).mSldHref ) return
	gPrevSld=3DgCurSld
	gCurSld=3DGetSldNum(id)
	if( IsFramesMode() ) {
		UpdNavPane(); UpdOtlPane(); UpdNtsPane()
	}
}

function PrevSldViewed(){ GoToSld( GetHrefObj(gPrevSld).mSldHref ) }
function HasPrevSld() { return ( gIsEndShow || ( gCurSld !=3D 1 && GetHrefO=
bj( gCurSld-1 ).mVis =3D=3D 1 )||( GetCurSldNum() > 1 ) ) }
function HasNextSld() { return (GetCurSldNum() !=3D GetNumSlds()) }

function CloseWindow() {
	if( HideMenu() ) return;
=09
	var event =3D PPTSld.event;
	if( !IsFramesMode() && event && (event.keyCode=3D=3D27 || event.keyCode=3D=
=3D32 || event.type=3D=3D"click" ) )
		window.close( self );
	CatchNumKeys( self, event );
}

function Unload() { gIsEndShow=3D0; }

function SetupEndShow() {
	gIsEndShow=3D1;
	PPTSld.document.body.scroll=3D"no";
	PPTSld.document.onkeypress=3DCloseWindow;
	PPTSld.document.onclick=3DCloseWindow;
	PPTSld.document.oncontextmenu=3D_CM;
}

function EndShow()
{
	if( IsFramesMode() ) return
	if( PPTSld.event ) PPTSld.event.cancelBubble=3Dtrue

	doc=3DPPTSld.document
	var dir =3D doc.body.dir
	if( dir !=3D "rtl" ) dir =3D "ltr";
	doc.open()
	doc.writeln('<html><body dir=3D' + dir + ' bgcolor=3Dblack onload=3Dparent=
.SetupEndShow() onunload=3Dparent.Unload()><center><p><font face=3DTahoma c=
olor=3Dwhite size=3D2><br><b>' + ENDSHOW_MESG + '</b></font></p></center></=
body></html>')
	doc.close()
}

function SetSldVisited(){ GetSldList().mList[gCurSld-1].mVisited=3Dtrue }

function IsSldVisited(){ return GetSldList().mList[gCurSld-1].mVisited }

function hrefList( sldHref, visible, advDelay, advClk )
{
	this.mSldHref=3D this.mNtsHref =3D sldHref
	this.mOrigVis=3D this.mVis =3D visible
	this.mVisited=3D false
	this.mAdvDelay=3D advDelay
	this.mAdvOnClk=3D advClk
}

function SldList(arr,curSld,fEnd)
{
	this.mCurSld =3D curSld;
	this.mList =3D new Array();

	var idx =3D 1;
	for(ii=3D0;ii<arr.length;ii++) {
		this.mList[ii] =3D new hrefList( arr[ii].mSldHref, arr[ii].mOrigVis, arr[=
ii].mAdvDelay, arr[ii].mAdvOnClk );
		if( arr[ii].mOrigVis )
			this.mList[ii].mSldIdx =3D idx++;
	}
	this.mNumVisSlds =3D idx-1;
	this.fEndShow =3D fEnd;
}

function GetSldList() {	return gSldStack[gSldStack.length-1] }
function GetCurSld() { return parent.GetSldList().mList[parent.gCurSld - 1]=
 }

gSldStack =3D new Array();
gSldStack[0] =3D new SldList(gMainDoc,gCurSld,1)
function ToggleOtlPane()
{
	frmset=3Ddocument.all("PPTHorizAdjust")
	frm=3Ddocument.all("PPTOtl")

	if( gOtlOpen )
		frmset.cols=3D"*,100%"
	else
		frmset.cols=3D"25%,*"

	gOtlOpen=3D!gOtlOpen
	frm.noResize=3D!frm.noResize
	UpdOtNavPane()
}

function ToggleNtsPane()
{
	frmset=3Ddocument.all("PPTVertAdjust")
	frm=3Ddocument.all("PPTNts")

	if( gNtsOpen )
		frmset.rows=3D"100%,*"
	else
		frmset.rows=3D"*,20%"

	gNtsOpen=3D!gNtsOpen
	UpdNtsPane()
}

/*********************************************
Custom Shows implementation

When ViewCustomShow() is called, we create
a new array that is a subset of the slides in=20
the main doc. This list pushed on a stack so
we can return after the end of the custom
show.
*********************************************/
function ViewCustomShow(idx,fEnd)
{
	if( !IsFullScrMode() ) return;
	var sldList =3D new Array();
	var custShow =3D custShowList[idx-1];
	var jj =3D 0;
	for( ii=3D0;ii<custShow.length;ii++ ) {
		if( custShow[ii] <=3D gMainDoc.length )
			sldList[jj++] =3D gMainDoc[custShow[ii]-1];
	}
	if (sldList.length > 0) {
	PushSldList(sldList,fEnd);
	gCurSld =3D 1;
	}
	else
		if( PPTSld.event ) PPTSld.event.cancelBubble=3Dtrue
}

function PushSldList(arr,fEnd) {
	var ii =3D gSldStack.length;
	gSldStack[ii] =3D new SldList(arr,gCurSld,fEnd);
	GoToSld( gSldStack[ii].mList[0].mSldHref );
}

function PopSldList() {
	if (gSldStack[gSldStack.length-1].fEndShow)
		EndShow()
	else {
	gCurSld =3D gSldStack[gSldStack.length-1].mCurSld;
	gSldStack[gSldStack.length-1] =3D null;
	gSldStack.length--;
	var sldList =3D gSldStack[gSldStack.length-1];
	GoToSld( sldList.mList[gCurSld - 1].mSldHref );
	}
}
var custShowList=3Dnew Array();

/*********************************************
 Navigation button implementation

 There are 2 types of buttons: ImgBtn, TxtBtn
 implemented as function objects. They share
 a similiar interface so the event handlers
 can call SetActive, for example, on a button=20
 object without needing to know exactly=20
 what type of button it is.
**********************************************/

//----------------------------------
function ImgBtn( oId,bId,w,action )
//----------------------------------
{
	var t=3Dthis
	t.Perform    =3D _IBP
	t.SetActive  =3D _IBSetA
	t.SetInactive=3D _IBSetI
	t.SetPressed =3D _IBSetP
	t.SetDisabled=3D _IBSetD
	t.Enabled    =3D _IBSetE
	t.ChangeIcon =3D null
	t.UserAction =3D action
	t.ChgState   =3D _IBUI
	t.mObjId   =3D oId
	t.mBorderId=3D bId
	t.mWidth   =3D w
	t.mIsOn    =3D t.mCurState =3D 0
}

function _IBSetA()
{
	if( this.mIsOn ) {
		obj=3Dthis.ChgState( gHiliteClr,gShadowClr,2 )
		obj.style.posTop=3D0
	}
}

function _IBSetI()
{
	if( this.mIsOn ) {
		obj=3Dthis.ChgState( gFaceClr,gFaceClr,1 )
		obj.style.posTop=3D0=20
	}
}

function _IBSetP()
{
	if( this.mIsOn ) {
		obj=3Dthis.ChgState( gShadowClr,gHiliteClr,2 )
		obj.style.posLeft+=3D1; obj.style.posTop+=3D1
	}
}

function _IBSetD()
{ =20
	obj=3Dthis.ChgState( gFaceClr,gFaceClr,0 )
	obj.style.posTop=3D0=20
}

function _IBSetE( state )
{
	var t=3Dthis
	GetObj( t.mBorderId ).style.visibility=3D"visible"
	if( state !=3D t.mIsOn ) {
		t.mIsOn=3Dstate
		if( state )
			t.SetInactive()
		else
			t.SetDisabled()
	}
}

function _IBP()
{
	var t=3Dthis
	if( t.mIsOn ) {
		if( t.UserAction !=3D null )
			t.UserAction()
		if( t.ChangeIcon ) {
			obj=3DGetObj(t.mObjId)
			if( t.ChangeIcon() )
				obj.style.posLeft=3Dobj.style.posLeft+(t.mCurState-4)*t.mWidth
			else
				obj.style.posLeft=3Dobj.style.posLeft+(t.mCurState-0)*t.mWidth
		}
		t.SetActive()
	} =20
}

function _IBUI( clr1,clr2,nextState )
{
	var t=3Dthis
	SetBorder( GetObj( t.mBorderId ),clr1,clr2 )
	obj=3DGetObj( t.mObjId )
	obj.style.posLeft=3Dobj.style.posLeft+(t.mCurState-nextState)*t.mWidth-obj=
.style.posTop
	t.mCurState=3DnextState
	return obj
}

//-----------------------------------------
function TxtBtn( oId,oeId,action,chkState )
//-----------------------------------------
{
	var t=3Dthis
	t.Perform    =3D _TBP
	t.SetActive  =3D _TBSetA
	t.SetInactive=3D _TBSetI
	t.SetPressed =3D _TBSetP
	t.SetDisabled=3D _TBSetD
	t.SetEnabled =3D _TBSetE
	t.GetState   =3D chkState
	t.UserAction =3D action
	t.ChgState   =3D _TBUI
	t.mObjId      =3D oId
	t.m_elementsId=3D oeId
	t.mIsOn       =3D 1
}

function _TBSetA()
{
	var t=3Dthis
	if( t.mIsOn && !t.GetState() )
		t.ChgState( gHiliteClr,gShadowClr,0,0 )
}

function _TBSetI()
{
	var t=3Dthis
	if( t.mIsOn && !t.GetState() )
		t.ChgState( gFaceClr,gFaceClr,0,0 )
}

function _TBSetP()
{
	if( this.mIsOn )
		this.ChgState( gShadowClr,gHiliteClr,1,1 )
}

function _TBSetD()
{  =20
	this.ChgState( gFaceClr,gFaceClr,0,0 )
	this.mIsOn =3D 0
}

function _TBSetE()
{
	var t=3Dthis
	if( !t.GetState() )
		t.ChgState( gFaceClr,gFaceClr,0,0 )
	else
		t.ChgState( gShadowClr,gHiliteClr,1,1 )
	t.mIsOn =3D 1
}

function _TBP()
{
	var t=3Dthis
	if( t.mIsOn ) {=20
		if( t.UserAction !=3D null )
			t.UserAction()
        if( !t.GetState )
            return
		if( t.GetState() )
			t.SetPressed()
		else
			t.SetActive()
	} =20
}

function _TBUI( clr1,clr2,lOffset,tOffset )
{
	SetBorder( GetObj( this.mObjId ),clr1,clr2 )
	Offset( GetObj( this.m_elementsId ),lOffset,tOffset )
}

function Offset( obj, top, left ){ obj.style.top=3Dtop; obj.style.left=3Dle=
ft }

function SetBorder( obj, upperLeft, lowerRight )
{
	s=3Dobj.style;
	s.borderStyle      =3D "solid"
	s.borderWidth      =3D 1=20
	s.borderLeftColor  =3D s.borderTopColor =3D upperLeft
	s.borderBottomColor=3D s.borderRightColor =3D lowerRight
}

function GetBtnObj(){ return gBtnArr[window.event.srcElement.id] }

function BtnOnOver(){ b=3DGetBtnObj(); if( b !=3D null ) b.SetActive() }

function BtnOnDown(){ b=3DGetBtnObj(); if( b !=3D null ) b.SetPressed() }

function BtnOnOut(){ b=3DGetBtnObj(); if( b !=3D null ) b.SetInactive() }

function BtnOnUp()
{
	b=3DGetBtnObj()
	if( b !=3D null )
		b.Perform()
	else
		Upd()
}
function GetNtsState(){ return parent.gNtsOpen }

function GetOtlState(){ return parent.gOtlOpen }

function GetOtlTxtState(){ return parent.gOtlTxtExp }

function NtsBtnSetFlag( fVal )
{
	s=3Ddocument.all.item( this.m_flagId ).style
	s.display=3D"none"
	if( fVal )
		s.display=3D""
	else
		s.display=3D"none"
}

function _BSetA_Border(){ b =3D gBtnArr[this.mObjId]; if( b !=3D null ) b.S=
etActive() }

function _BSetI_Border(){ b =3D gBtnArr[this.mObjId]; if( b !=3D null ) b.S=
etInactive() }

function _BSetP_Border(){ b =3D gBtnArr[this.mObjId]; if( b !=3D null ) b.S=
etPressed() }

function _BSetA_BorderImg()
{=20
	b =3D gBtnArr[this.mBorderId]=20
	if( b !=3D null && this.mIsOn && !b.GetState() ) {
		obj=3Dthis.ChgState( gHiliteClr,gShadowClr,2 )
		obj.style.posTop=3D0
	}
}

function _BSetI_BorderImg()
{=20
	b =3D gBtnArr[this.mBorderId]
	if( b !=3D null && this.mIsOn && !b.GetState() ) {
		obj=3Dthis.ChgState( gFaceClr,gFaceClr,1 )
		obj.style.posTop=3D0
	}
}


var gHiliteClr=3D"THREEDHIGHLIGHT",gShadowClr=3D"THREEDSHADOW",gFaceClr=3D"=
THREEDFACE"
var gBtnArr =3D new Array()
gBtnArr["nb_otl"] =3D new TxtBtn( "nb_otl","nb_otlElem",parent.ToggleOtlPan=
e,GetOtlState )
gBtnArr["nb_otlElem"] =3D new TxtBtn( "nb_otl","nb_otlElem",parent.ToggleOt=
lPane,GetOtlState )
gBtnArr["nb_nts"] =3D new ImgBtn( "nb_nts","nb_ntsBorder",10,parent.ToggleN=
tsPane )
gBtnArr["nb_nts"].SetActive =3D _BSetA_BorderImg;
gBtnArr["nb_nts"].SetInactive =3D _BSetI_BorderImg;
gBtnArr["nb_ntsBorder"] =3D new TxtBtn( "nb_ntsBorder","nb_ntsElem",parent.=
ToggleNtsPane,GetNtsState )
gBtnArr["nb_ntsElem"] =3D new TxtBtn( "nb_ntsBorder","nb_ntsElem",parent.To=
ggleNtsPane,GetNtsState )
gBtnArr["nb_prevBorder"] =3D gBtnArr["nb_prev"]=3D new ImgBtn( "nb_prev","n=
b_prevBorder",30,parent.GoToPrevSld )
gBtnArr["nb_nextBorder"] =3D gBtnArr["nb_next"]=3D new ImgBtn( "nb_next","n=
b_nextBorder",30,parent.GoToNextSld )
gBtnArr["nb_sldshw"]=3D new ImgBtn( "nb_sldshw","nb_sldshwBorder",18,parent=
.FullScreen )
gBtnArr["nb_sldshwBorder"] =3D new TxtBtn( "nb_sldshw","nb_sldshwBorder",pa=
rent.FullScreen,null )
gBtnArr["nb_sldshwBorder"].SetActive =3D _BSetA_Border;
gBtnArr["nb_sldshwBorder"].SetInactive =3D _BSetI_Border;
gBtnArr["nb_sldshwText"] =3D new TxtBtn( "nb_sldshw","nb_sldshwText",parent=
.FullScreen,null )
gBtnArr["nb_sldshwText"].SetActive =3D _BSetA_Border;
gBtnArr["nb_sldshwText"].SetInactive =3D _BSetI_Border;
gBtnArr["nb_voice"] =3D gBtnArr["nb_voiceBorder"] =3D new ImgBtn( "nb_voice=
","nb_voiceBorder",18,parent.ToggleVNarration )
gBtnArr["nb_otlTxtBorder"] =3D gBtnArr["nb_otlTxt"]=3D new ImgBtn( "nb_otlT=
xt","nb_otlTxtBorder",23,parent.ToggleOtlText )
gBtnArr["nb_ntsBorder"].m_flagId=3D "nb_nts"
gBtnArr["nb_ntsBorder"].SetFlag =3D NtsBtnSetFlag
gBtnArr["nb_otlTxt"].ChangeIcon=3D GetOtlTxtState

/*********************************************
 Context menu implementation

 _CM() is the function that's hooked up to
 the oncontextmenu event. Once we're asked to
 show the menu, we first build it by creating
 DIVs on-the-fly. Then we position it=20
 within the screen area so it doesn't get
 clipped.

 Creating the DIVs using createElement() means
 we don't have to write out any extra HTML
 into the slide HTML files.
**********************************************/
var sNext=3D"Next",sPrev=3D"Previous",sEnd=3D"End Show",sFont=3D"Arial",sAr=
row=3D"Arrow",sFreeform=3D"Freeform",sRect=3D"Rectangle",sOval=3D"Oval"

function ShowMenu()
{
	BuildMenu();
	var doc=3DPPTSld.document.body,x=3DPPTSld.event.clientX+doc.scrollLeft,y=
=3DPPTSld.event.clientY+doc.scrollTop
	m =3D PPTSld.document.all.item("ctxtmenu")
	m.style.pixelLeft=3Dx
	if( (x+m.scrollWidth > doc.clientWidth)&&(x-m.scrollWidth > 0) )
		m.style.pixelLeft=3Dx-m.scrollWidth

	m.style.pixelTop=3Dy
	if( (y+m.scrollHeight > doc.clientHeight)&&(y-m.scrollHeight > 0) )
		m.style.pixelTop=3Dy-m.scrollHeight

	m.style.display=3D""
}

function _CM()
{
	if( !parent.IsFullScrMode() ) return;
	if(!PPTSld.event.ctrlKey) {
		ShowMenu()
		return false
	} else
		HideMenu()
}

function BuildMenu()
{
	if( PPTSld.document.all.item("ctxtmenu") ) return

	var mObj=3DCreateItem( PPTSld.document.body )
	mObj.id=3D"ctxtmenu"
	mObj.style.visibility=3D"hidden"
	var s=3DmObj.style
	s.position=3D"absolute"
	s.cursor=3D"default"
	s.width=3D"120px"
	SetCMBorder(mObj,"menu","black")

	var iObj=3DCreateItem( mObj )
	SetCMBorder( iObj, "threedhighlight","threedshadow" )
	iObj.style.padding=3D2
	CreateMenuItem( iObj,sNext,M_GoNextSld,M_True )
	CreateMenuItem( iObj,sPrev,M_GoPrevSld,M_HasPrevSld )
=09
	CreateSeparator( iObj )
	CreateMenuItem( iObj,sEnd,M_End,M_True )
	mObj.style.visibility=3D"visible"
}

function Cancel() { window.event.cancelBubble=3Dtrue; window.event.returnVa=
lue=3Dfalse }

function Highlight() { ChangeClr("activecaption","threedhighlight") }

function Deselect() { ChangeClr("threedface","menutext") }

function Perform()
{
	e=3DPPTSld.event.srcElement
	if( e.type=3D=3D"menuitem" && e.IsActive() )
		e.Action()
	else
		PPTSld.event.cancelBubble=3Dtrue
}
function ChangeClr( bg,clr )
{
	e=3DPPTSld.event.srcElement
	if( e.type=3D=3D"menuitem" && e.IsActive() ) {
		e.style.backgroundColor=3Dbg
		e.style.color=3Dclr
	}
}

function M_HasPrevSld() { return( parent.HasPrevSld() ) }

function M_GoNextSld() { if( gIsEndShow ) M_End(); else GoToNextSld() }

function M_GoPrevSld() { if( gIsEndShow ) { gIsEndShow=3D0; history.back();=
 PPTSld.event.cancelBubble=3Dtrue; } else GoToPrevSld() }

function M_True() { return true }

function M_End() { window.close( self ) }

function CreateMenuItem( node,text,action,eval )
{
	var e=3DCreateItem( node )
	e.type=3D"menuitem"
	e.Action=3Daction
	e.IsActive=3Deval
	e.innerHTML=3Dtext

	if( !e.IsActive() )
		e.style.color=3D"threedshadow"

	e.onclick=3DPerform
	e.onmouseover=3DHighlight
	e.onmouseout=3DDeselect
	s=3De.style;
	s.fontFamily=3DsFont
	s.fontSize=3D"9pt"
	s.paddingLeft=3D2
}

function CreateSeparator( node )
{
	var sObj=3DCreateItem( node )
	SetCMBorder(sObj,"menu","menu")
	var s=3DsObj.style
	s.borderTopColor=3D"threedshadow"
	s.borderBottomColor=3D"threedhighlight"
	s.height=3D1
	s.fontSize=3D"0px"
}

function CreateItem( node )
{
	var elem=3DPPTSld.document.createElement("DIV")
	node.insertBefore( elem )
	return elem
}

function SetCMBorder( o,ltClr,rbClr )
{
	var s=3Do.style
	s.backgroundColor=3D"menu"
	s.borderStyle=3D"solid"
	s.borderWidth=3D1
	s.borderColor=3DltClr+" "+rbClr+" "+rbClr+" "+ltClr
}
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 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>13</font></div>
  </td>
  <td>
  <div id=3DPPTP13 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0118.htm');" id=3DPPTL13><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>14</font></div>
  </td>
  <td>
  <div id=3DPPTP14 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0132.htm');" id=3DPPTL14><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>15</font></div>
  </td>
  <td>
  <div id=3DPPTP15 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0133.htm');" id=3DPPTL15><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>16</font></div>
  </td>
  <td>
  <div id=3DPPTP16 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0134.htm');" id=3DPPTL16><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>17</font></div>
  </td>
  <td>
  <div id=3DPPTP17 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0135.htm');" id=3DPPTL17><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>18</font></div>
  </td>
  <td>
  <div id=3DPPTP18 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0173.htm');" id=3DPPTL18><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>19</font></div>
  </td>
  <td>
  <div id=3DPPTP19 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0174.htm');" id=3DPPTL19><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>20</font></div>
  </td>
  <td>
  <div id=3DPPTP20 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0136.htm');" id=3DPPTL20><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>21</font></div>
  </td>
  <td>
  <div id=3DPPTP21 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0137.htm');" id=3DPPTL21><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>22</font></div>
  </td>
  <td>
  <div id=3DPPTP22 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0138.htm');" id=3DPPTL22><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>23</font></div>
  </td>
  <td>
  <div id=3DPPTP23 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0139.htm');" id=3DPPTL23><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>24</font></div>
  </td>
  <td>
  <div id=3DPPTP24 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0141.htm');" id=3DPPTL24><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>25</font></div>
  </td>
  <td>
  <div id=3DPPTP25 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0034.htm');" id=3DPPTL25><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>26</font></div>
  </td>
  <td>
  <div id=3DPPTP26 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0142.htm');" id=3DPPTL26><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>27</font></div>
  </td>
  <td>
  <div id=3DPPTP27 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0143.htm');" id=3DPPTL27><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>28</font></div>
  </td>
  <td>
  <div id=3DPPTP28 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0144.htm');" id=3DPPTL28><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>29</font></div>
  </td>
  <td>
  <div id=3DPPTP29 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0145.htm');" id=3DPPTL29><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>30</font></div>
  </td>
  <td>
  <div id=3DPPTP30 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0146.htm');" id=3DPPTL30><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>31</font></div>
  </td>
  <td>
  <div id=3DPPTP31 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0147.htm');" id=3DPPTL31><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>32</font></div>
  </td>
  <td>
  <div id=3DPPTP32 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0148.htm');" id=3DPPTL32><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>33</font></div>
  </td>
  <td>
  <div id=3DPPTP33 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0149.htm');" id=3DPPTL33><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>34</font></div>
  </td>
  <td>
  <div id=3DPPTP34 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0150.htm');" id=3DPPTL34><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>35</font></div>
  </td>
  <td>
  <div id=3DPPTP35 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0151.htm');" id=3DPPTL35><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>36</font></div>
  </td>
  <td>
  <div id=3DPPTP36 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0120.htm');" id=3DPPTL36><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>37</font></div>
  </td>
  <td>
  <div id=3DPPTP37 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0152.htm');" id=3DPPTL37><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>38</font></div>
  </td>
  <td>
  <div id=3DPPTP38 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0153.htm');" id=3DPPTL38><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>39</font></div>
  </td>
  <td>
  <div id=3DPPTP39 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0154.htm');" id=3DPPTL39><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>40</font></div>
  </td>
  <td>
  <div id=3DPPTP40 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0155.htm');" id=3DPPTL40><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>41</font></div>
  </td>
  <td>
  <div id=3DPPTP41 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0156.htm');" id=3DPPTL41><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>42</font></div>
  </td>
  <td>
  <div id=3DPPTP42 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0157.htm');" id=3DPPTL42><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>43</font></div>
  </td>
  <td>
  <div id=3DPPTP43 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0119.htm');" id=3DPPTL43><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>44</font></div>
  </td>
  <td>
  <div id=3DPPTP44 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0158.htm');" id=3DPPTL44><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>45</font></div>
  </td>
  <td>
  <div id=3DPPTP45 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0159.htm');" id=3DPPTL45><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>46</font></div>
  </td>
  <td>
  <div id=3DPPTP46 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0161.htm');" id=3DPPTL46><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>47</font></div>
  </td>
  <td>
  <div id=3DPPTP47 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0162.htm');" id=3DPPTL47><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>48</font></div>
  </td>
  <td>
  <div id=3DPPTP48 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0163.htm');" id=3DPPTL48><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>49</font></div>
  </td>
  <td>
  <div id=3DPPTP49 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0164.htm');" id=3DPPTL49><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>50</font></div>
  </td>
  <td>
  <div id=3DPPTP50 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0165.htm');" id=3DPPTL50><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>51</font></div>
  </td>
  <td>
  <div id=3DPPTP51 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0047.htm');" id=3DPPTL51><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>52</font></div>
  </td>
  <td>
  <div id=3DPPTP52 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0166.htm');" id=3DPPTL52><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>53</font></div>
  </td>
  <td>
  <div id=3DPPTP53 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0167.htm');" id=3DPPTL53><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
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