Final answer to the problem
$x=\ln\left(2\right)$
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1
Apply the formula: $e^x=b$$\to \ln\left(e^x\right)=\ln\left(b\right)$, where $b=2$
$\ln\left(e^x\right)=\ln\left(2\right)$
2
Apply the formula: $\ln\left(e^x\right)$$=x$
$x=\ln\left(2\right)$
Final answer to the problem
$x=\ln\left(2\right)$
Exact Numeric Answer
$x=0.6931472$