Answer
$x \approx 0.72$
Work Step by Step
Subtract $7$ on both sides to obtain:
$3\ln{x} = -1$
Divide $3$ on both sides of the equation to obtain:
$\ln{x} = -\dfrac{1}{3}$
RECALL:
$\ln{x}= y \longrightarrow e^y=x$
Use the rule above to obtain:
$e^{-\frac{1}{3}}=x$
Use a calculator to obtain:
$x=0.7165313106
\\x \approx 0.72$