Answer
1620.6168
Work Step by Step
We are given the equation $\ln(5x)=9$. To solve for x, remember that the base of a natural logarithm is understood to be $e$.
Therefore, $\ln(5x)=log_{e}5x=9$.
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, $5x=e^{9}$.
Divide both sides by 5.
$x=\frac{e^{9}}{5}\approx1620.6168$
