Answer
$x=\dfrac{1}{2}$
Work Step by Step
Using properties of logarithms, then,
\begin{array}{l}
\ln \sqrt{e}=x
\\\\
\ln e^{\frac{1}{2}}=x
\\\\
\dfrac{1}{2}\ln e=x
\\\\
\dfrac{1}{2}(1)=x
\\\\
x=\dfrac{1}{2}
.\end{array}
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