Answer
$x=\frac{e^{.76}}{3}\approx.7128$
Work Step by Step
We are given the equation $\ln(3x)=.76$. To solve for x, remember that the base of a natural logarithm is understood to be $e$.
Therefore, $\ln(3x)=log_{e}3x=.76$.
If $b\gt0$ and $b\ne1$, then $y=log_{b}x$ means $x=b^{y}$ for every $x\gt0$ and every real number $y$.
Therefore, $3x=e^{.76}$.
Divide both sides by 3.
$x=\frac{e^{.76}}{3}\approx.7128$
