Answer
$\dfrac{\ln{10}}{3}$
Work Step by Step
$\because e^y=x \text{ is equivalent to } y=\ln{x}$
$\therefore e^{3x} = 10 \text{ is equivalent to } 3x=\ln(10)$
Solve the equation above to obtain:
\begin{align*}
3x&=\ln{10}\\\\
x&= \dfrac{\ln{10}}{3}
\end{align*}