Answer
$x=\ln\dfrac{10}{3}\approx1.203973$
Work Step by Step
$3e^{x}=10$
Take the $3$ to divide the right side of the equation:
$e^{x}=\dfrac{10}{3}$
Apply $\ln$ to both sides:
$\ln e^{x}=\ln\dfrac{10}{3}$
We take the exponent $x$ to multiply in front of the $\ln$:
$x\ln e=\ln\dfrac{10}{3}$
We know that $\ln e=1$, so we finally get:
$x=\ln\dfrac{10}{3}\approx1.203973$
