#### Answer

$x\approx3.912$

#### Work Step by Step

Taking the natural logarithm of both sides and using the properties of logarithms, the value of the variable that satisfies the given equation, $
e^x=50
,$ is
\begin{array}{l}\require{cancel}
\ln e^x=\ln50
\\\\
x\ln e=\ln50
\\\\
x(1)=\ln50
\\\\
x=\ln50
\\\\
x\approx3.912
.\end{array}