Answer
$x=\dfrac {e^{\frac {3}{2}}}{4}=\dfrac {\sqrt {e^3}}{4}$
Work Step by Step
$\ln 4x=1.5\Rightarrow \log _{e}4x=\dfrac {3}{2}\Rightarrow 4x=e^{\frac {3}{2}}\Rightarrow $
$x=\dfrac {e^{\frac {3}{2}}}{4}=\dfrac {\sqrt {e^3}}{4}$
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