Answer
(a) $x=\ln(\frac{10}{3})$
(b) $x\approx 1.203973$
Work Step by Step
(a) We need to solve:
$3e^{x}=10 $
$e^{x}=\frac{10}{3}$
We take $\ln$ of both sides to simplify:
$x=\ln(\frac{10}{3})$
(b) We solve using a calculator:
$x\approx 1.203973$
