Answer
$22 \% $
Work Step by Step
The formula for continuously compounded interest is given by : $ A= Pe^{rt}$
Plug in the given data.
$3x=(x) e^{5r}$
or, $3 =e^{5r}$
Take the natural log of each side.
$\ln 3 =5r \implies r= \dfrac{\ln 3}{5} \approx 0.2197 \approx 22 \% $