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8e^x=2297

 Sep 28, 2017
 #1
avatar+22192 
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solve for x

8e^x=2297

 

\(\begin{array}{|rcll|} \hline 8e^x &=& 2297 \quad & | \quad : 8 \\ e^x &=& \frac{2297}{8} \\ e^x &=& 287.125 \quad & | \quad \ln() \text{ both sides}\\ ln( e^x ) &=& ln( 287.125) \\ ln( e^x ) &=& 5.65991766101 \quad & | \quad \ln( e^x ) = x\ln(e) \\ xln(e) &=& 5.65991766101 \quad & | \quad \ln(e) = 1 \\ x &=& 5.65991766101 \\ \hline \end{array}\)

 

laugh

 Sep 28, 2017

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