Answer
$14.6$ years
Work Step by Step
The formula for continuously compound interest is given by : $ A= Pe^{rt}$
Plug in the given data.
$150,000=(50,000) e^{0.75t}$
or, $3 =e^{0.75t}$
Take the natural log of each side.
$\ln 3 =0.75 t \implies t \approx 14.6$ years
