Answer
6.93.
Work Step by Step
${{\log }_{a}}14$
Simplify the logarithm ${{\log }_{a}}14$ as follows.
${{\log }_{a}}14={{\log }_{a}}\left( 7\cdot 2 \right)$
Apply the product rule for logarithms,
${{\log }_{a}}14={{\log }_{a}}7+{{\log }_{a}}2$