Answer
$x\approx27.30$
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.
$5\ln(2x)=20$
$\ln(2x)=4$
$e^4=2x$
$x=\frac{e^4}{2}$
$x\approx27.30$