Chapter 7 - Exponential and Logarithmic Functions - Chapter Test - Page 491: 19

$\log_7{a}-\log_7{b}$

Recall: \begin{align*}n \cdot \log_a{b}&=\log_a{\left(b^n\right)} &\text{( Power Rule)}\\\\ \log_a{b}+\log_a{c}&=\log_a{bc} &\text{(Product Rule)}\\\\ \log_a{b}-\log_a{c}&=\log_a{\frac{b}{c}} &\text{(Quotient Rule)}\end{align*} Use the Quotient Rule to obtain: \begin{align*} &=\log_7{a}-\log_7{b}\\ \end{align*}