Answer
$x\approx 23.752$
Work Step by Step
Add $8$ to each side to obtain:
$$e^{\frac{x}{9}}=14$$
RECALL:
$$\ln{x}=y \longleftrightarrow e^y=x$$
Use the definition above to obtain:
\begin{align*}
\ln{14}&=\frac{x}{9}\\\\
9(\ln{14})&=9\left(\frac{x}{9}\right)\\\\
9\ln{14}&=x
\end{align*}
Use a scientific calculator to obtain:
$$x\approx 23.752$$