Answer
$x=0$
Work Step by Step
Subtract $5$ from each side to obtain:
$$e^{3x}=1$$
RECALL:
$$\ln{x}=y \longleftrightarrow e^y=x$$
Use the definition above to obtain:
\begin{align*}
\ln{1}&=3x\\\\
\frac{\ln{1}}{3}&=\frac{3x}{3}\\\\
\frac{\ln{1}}{3}&=x
\end{align*}
Use a scientific calculator to obtain:
$$x=0$$