Answer
2.54995.
Work Step by Step
${{\log }_{a}}\sqrt{7}={{\log }_{a}}{{7}^{\frac{1}{2}}}$
Apply the power rule for logarithms as follows.
${{\log }_{a}}\sqrt{7}=\frac{1}{2}{{\log }_{a}}7$
Substitute ${{\log }_{a}}7=5.0999$.
$\begin{align}
& {{\log }_{a}}\sqrt{7}=\frac{1}{2}\left( 5.0999 \right) \\
& =2.54995
\end{align}$
