Chapter 12 - Exponential Functions and Logarithmic Functions - 12.4 Properties of Logarithmic Functions - 12.4 Exercise Set - Page 810: 31

$\log_a \dfrac{x}{y}$

Using $\log_b x-\log_b y=\log_b \dfrac{x}{y}$ (or the logarithm of a quotient), the given logarithmic equation, $ \log_a x-\log_a y ,$ is equivalent to \begin{array}{l}\require{cancel} \log_a \dfrac{x}{y} .\end{array}