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		<title>1.8 Lösning 4c - Versionshistorik</title>
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		<updated>2026-06-26T18:06:00Z</updated>
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	<entry>
		<id>https://minidemo.mathonline.se/index.php?title=1.8_L%C3%B6sning_4c&amp;diff=3740&amp;oldid=prev</id>
		<title>Taifun: Created page with &quot;:::&lt;math&gt;\begin{align} 4\,e\,^{3\,x} &amp; = 145        \quad  &amp; &amp;\,| \; / \; 4                 \\                           e\,^{3\,x} &amp; = 36,25      \quad  &amp; &amp;\,| \;   \ln\,(\;\;) ...&quot;</title>
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				<updated>2011-03-21T04:23:06Z</updated>
		
		<summary type="html">&lt;p&gt;Created page with &amp;quot;:::&amp;lt;math&amp;gt;\begin{align} 4\,e\,^{3\,x} &amp;amp; = 145        \quad  &amp;amp; &amp;amp;\,| \; / \; 4                 \\                           e\,^{3\,x} &amp;amp; = 36,25      \quad  &amp;amp; &amp;amp;\,| \;   \ln\,(\;\;) ...&amp;quot;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;Ny sida&lt;/b&gt;&lt;/p&gt;&lt;div&gt;:::&amp;lt;math&amp;gt;\begin{align} 4\,e\,^{3\,x} &amp;amp; = 145        \quad  &amp;amp; &amp;amp;\,| \; / \; 4                 \\&lt;br /&gt;
                          e\,^{3\,x} &amp;amp; = 36,25      \quad  &amp;amp; &amp;amp;\,| \;   \ln\,(\;\;)                 \\&lt;br /&gt;
                     \ln\,(e^{3\,x}) &amp;amp; = \ln\,36,25 \quad  &amp;amp; &amp;amp;: \;\text{Inversegenskapen av ln och e} \\&lt;br /&gt;
                               3\,x  &amp;amp; = \ln\,36,25 \quad  &amp;amp; &amp;amp;\,| \; / \; 3                            \\&lt;br /&gt;
                                  x  &amp;amp; = {\ln\,36,25 \over 3}                             \\&lt;br /&gt;
                                  x  &amp;amp; = 1,196813 &lt;br /&gt;
       \end{align}&amp;lt;/math&amp;gt;&lt;/div&gt;</summary>
		<author><name>Taifun</name></author>	</entry>

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