# 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.

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