solve for x

solve for x

8e^x=2297

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