Övningar 3.4

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Versionen från 16 juli 2007 kl. 08.10 (redigera)
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(Ny sida: __NOTOC__ ==&Ouml;vning 3.4:1== <div class="ovning"> L&ouml;s ekvationerna <table width="100%" cellspacing="10px"> <tr align="left"> <td class="ntext">a)</td> <td class="ntext" width="33%">...)
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Nuvarande version (17 juli 2007 kl. 09.43) (redigera) (ogör)
KTH.SE:u1zpa8nw (Diskussion | bidrag)

 
(3 mellanliggande versioner visas inte.)
Rad 1: Rad 1:
__NOTOC__ __NOTOC__
-==&Ouml;vning 3.4:1==+'''&Ouml;vning 3.4:1'''
-<div class="ovning">+<div class="ovning" style="margin-top:-20px; margin-bottom:-5px;">
L&ouml;s ekvationerna L&ouml;s ekvationerna
-<table width="100%" cellspacing="10px">+<table width="100%">
<tr align="left"> <tr align="left">
-<td class="ntext">a)</td>+<td class="ntext">a)&nbsp;&nbsp;&nbsp;</td>
<td class="ntext" width="33%">$e^x=13$</td> <td class="ntext" width="33%">$e^x=13$</td>
-<td class="ntext">b)</td>+<td class="ntext">b)&nbsp;&nbsp;&nbsp;</td>
<td class="ntext" width="33%">$13e^x=2\cdot3^{-x}$</td> <td class="ntext" width="33%">$13e^x=2\cdot3^{-x}$</td>
-<td class="ntext">c)</td>+<td class="ntext">c)&nbsp;&nbsp;&nbsp;</td>
<td class="ntext" width="33%">$3e^x=7\cdot2^x$</td> <td class="ntext" width="33%">$3e^x=7\cdot2^x$</td>
<tr><td height="5px"/></tr> <tr><td height="5px"/></tr>
Rad 16: Rad 16:
</div> </div>
-==&Ouml;vning 3.4:2==+'''&Ouml;vning 3.4:2'''
-<div class="ovning">+<div class="ovning" style="margin-top:-20px; margin-bottom:-5px;">
L&ouml;s ekvationerna L&ouml;s ekvationerna
-<table width="100%" cellspacing="10px">+<table width="100%">
<tr align="left"> <tr align="left">
-<td class="ntext">a)</td>+<td class="ntext">a)&nbsp;&nbsp;&nbsp;</td>
-<td class="ntext" width="33%">$2^{\scriptstyle x^2-2}=1$</td>+<td class="ntext" width="33%">$2^{\scriptstyle x^{\scriptstyle2}-2}=1$</td>
-<td class="ntext">b)</td>+<td class="ntext">b)&nbsp;&nbsp;&nbsp;</td>
<td class="ntext" width="33%">$e^{2x}+e^x=4$</td> <td class="ntext" width="33%">$e^{2x}+e^x=4$</td>
-<td class="ntext">c)</td>+<td class="ntext">c)&nbsp;&nbsp;&nbsp;</td>
-<td class="ntext" width="33%">$3e^{x^2}=2^x$</td>+<td class="ntext" width="33%">$3e^{x^{\scriptstyle2}}=2^x$</td>
</tr> </tr>
<tr><td height="5px"/></tr> <tr><td height="5px"/></tr>
Rad 32: Rad 32:
</div> </div>
-==&Ouml;vning 3.4:3==+'''&Ouml;vning 3.4:3'''
-<div class="ovning">+<div class="ovning" style="margin-top:-20px; margin-bottom:-5px;">
L&ouml;s ekvationerna L&ouml;s ekvationerna
-<table width="100%" cellspacing="10px">+<table width="100%">
<tr align="left"> <tr align="left">
-<td class="ntext">a)</td>+<td class="ntext">a)&nbsp;&nbsp;&nbsp;</td>
-<td class="ntext" width="50%">$2^{-x^2}=2e^{2x}$</td>+<td class="ntext" width="50%">$2^{-x^{\scriptstyle2}}=2e^{2x}$</td>
-<td class="ntext">b)</td>+<td class="ntext">b)&nbsp;&nbsp;&nbsp;</td>
<td class="ntext" width="50%">$\ln{(x^2+3x)}=\ln{(3x^2-2x)}$</td> <td class="ntext" width="50%">$\ln{(x^2+3x)}=\ln{(3x^2-2x)}$</td>
</tr> </tr>
<tr align="left"> <tr align="left">
-<td class="ntext">c)</td>+<td class="ntext">c)&nbsp;&nbsp;&nbsp;</td>
<td class="ntext" width="50%">$\ln{x}+\ln{(x+4)}=\ln{(2x+3)}$</td> <td class="ntext" width="50%">$\ln{x}+\ln{(x+4)}=\ln{(2x+3)}$</td>
</tr> </tr>
Rad 49: Rad 49:
</table> </table>
</div> </div>
 +<br><br><br><br><br><br><br><br><br><br><br><br><br><br><br><br><br><br><br><br><br><br><br><br><br><br><br><br><br><br><br><br><br>

Nuvarande version

Övning 3.4:1

Lös ekvationerna

a)    $e^x=13$ b)    $13e^x=2\cdot3^{-x}$ c)    $3e^x=7\cdot2^x$

Övning 3.4:2

Lös ekvationerna

a)    $2^{\scriptstyle x^{\scriptstyle2}-2}=1$ b)    $e^{2x}+e^x=4$ c)    $3e^{x^{\scriptstyle2}}=2^x$

Övning 3.4:3

Lös ekvationerna

a)    $2^{-x^{\scriptstyle2}}=2e^{2x}$ b)    $\ln{(x^2+3x)}=\ln{(3x^2-2x)}$
c)    $\ln{x}+\ln{(x+4)}=\ln{(2x+3)}$


































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