Chapter 12 - Exponential Functions and Logarithmic Functions - 12.4 Properties of Logarithmic Functions - 12.4 Exercise Set - Page 810: 26

$\log_a y-\log_a x$

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