Answer
$x=\dfrac{e^5}{4}$
Work Step by Step
Recall:
$\ln{a}+\ln{b} = \ln{(ab)}$
Thus, using the rule above gives:
\begin{align*}
\ln{(4x)}&=5
\end{align*}
Recall:
$\ln{x}=a \longleftrightarrow e^a=x$
Hence,
\begin{align*}
\ln{(4x)}=5 &\longrightarrow 4x=e^5\\\\
&x=\frac{e^5}{4}
\end{align*}
Check:
\begin{align*}
\ln{4} + \ln{\left(\frac{e^5}{4}\right)}&=5\\\\
\ln{\left(4 \cdot \frac{e^5}{4}\right)}&=5\\\\
\ln{e^5}&=5\\\\
5&=5
\end{align*}
