Answer
$x\approx 5.493$
Work Step by Step
Subtract $4$ from each side to obtain:
$$e^{\frac{x}{5}}=3$$
RECALL:
$$\ln{x}=y \longleftrightarrow e^y=x$$
Use the definition above to obtain:
\begin{align*}
\ln{3}&=\frac{x}{5}\\\\
5(\ln3)&=5\left(\frac{x}{5}\right)\\\\
5\ln3&=x
\end{align*}
Use a scientific calculator to obtain:
$$x\approx 5.493$$
