Answer
$x \approx 0.61$
Work Step by Step
Subtract $6$ on both sides to obtain:
$2\ln{x} = -1$
Divide $2$ on both sides of the equation to obtain:
$\ln{x} = -\dfrac{1}{2}$
RECALL:
$\ln{x}= y \longrightarrow e^y=x$
Use the rule above to obtain:
$e^{-\frac{1}{2}}=x$
Use a calculator to obtain:
$x=0.6065306597
\\x \approx 0.61$