Answer
$x=\dfrac{e^{1.5}}{4}$
Work Step by Step
$\bf{\text{Solution Outline:}}$
To solve the given equation, $
\ln(4x)=1.5
,$ convert it to exponential form.
$\bf{\text{Solution Details:}}$
Since $\ln x=\log_e x,$ the equation above is equivalent to
\begin{array}{l}\require{cancel}
\log_e(4x)=1.5
.\end{array}
Since $y=b^x$ is equivalent to $\log_b y=x,$ the exponential form of the equation above is
\begin{array}{l}\require{cancel}
e^{1.5}=4x
\\\\
4x=e^{1.5}
\\\\
x=\dfrac{e^{1.5}}{4}
.\end{array}