Practice Final Exam - Page 706: 60

$x=\dfrac{1}{2}$

Using the properties of logarithms and that $\ln e=1$, the solution to the given equation, $ \ln\sqrt{e}=x ,$ is \begin{array}{l}\require{cancel} \ln e^{1/2}=x \\\\ \dfrac{1}{2}\ln e=x \\\\ \dfrac{1}{2}(1)=x \\\\ \dfrac{1}{2}=x \\\\ x=\dfrac{1}{2} .\end{array}