# Describe the quotient rule for logarithms and give an example.

Logarithms
The quotient rule for logarithms with base b is given by: $$\displaystyle{\log{{b}}}{x}-{\log{{b}}}{y}={\log{{b}}}{\left(\frac{{x}}{{y}}\right)}$$
For example, $$\displaystyle{\log{{20}}}-{\log{{5}}}={\log{{\left(\frac{{20}}{{5}}\right)}}}={\log{{4}}}$$