Answer
$x\approx74.21$
Work Step by Step
Use the definition of the natural log function to solve for $x$. Rewrite the problem so that the base has the exponent of the opposite side and is equal to the log's number and/or variable.
$6\ln2x=30$
$\ln2x=5$
$e^5=2x$
$x=\frac{e^5}{2}$
$x\approx74.21$
