Answer
3.2698.
Work Step by Step
${{\log }_{a}}3.5$
Simplify the logarithm ${{\log }_{a}}3.5$ as follows.
${{\log }_{a}}3.5={{\log }_{a}}\frac{7}{2}$
Apply the quotient rule for logarithms as follows.
${{\log }_{a}}3.5={{\log }_{a}}7-{{\log }_{a}}2$
Substitute ${{\log }_{a}}2=1.8301\text{ and }{{\log }_{a}}7=5.0999$.
$\begin{align}
& {{\log }_{a}}3.5=5.0999-1.8301 \\
& =3.2698
\end{align}$
