Answer
$x=\frac{e^{.18}}{4}\approx.2993$
Work Step by Step
We are given the equation $\ln(4x)=.18$. To solve for x, remember that the base of a natural logarithm is understood to be $e$.
Therefore, $\ln(4x)=log_{e}4x=.18$.
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, $4x=e^{.18}$.
Divide both sides by 4.
$x=\frac{e^{.18}}{4}\approx.2993$
