Quotient Law of Logarithms

Formula

$\log_{b}{\Big(\dfrac{m}{n}\Big)}$ $\,=\,$ $\log_{b}{m}-\log_{b}{n}$

The logarithm of quotient of two quantities is equal to difference of their logs is called the quotient rule of logarithms.

Proof

Learn how to prove logarithm of quotient of two is equal to subtraction of their logs.