Answer
True
Work Step by Step
The quotient property of logarithms tells us that $log_{b}\frac{x}{y}=log_{b}x-log_{b}y$ (where x, y, and, b are positive real numbers and $b\ne1$).
Therefore, $log_{7}\frac{14}{8}=log_{7}14-log_{7}8$, so this statement is true according to the quotient property of logarithms.