Answer
$\log{\left(\frac{x}{y}\right)}$
Work Step by Step
RECALL:
(1) Product Property of Logarithms:
$\log_a{mn}=\log_a{m}+\log_a{n}$
(2) Quotient Property of Logarithms:
$\log_a\left(\frac{m}{n}\right)=log_a{m}−\log_a{n}$
(3) Power Property of Logarithms:
$\log_a{m^n}=n\cdot\log_a{m}$
Use the Quotient Property to obtain:
$\log{x}−\log{y}=\log{\left(\frac{x}{y}\right)}$
