Algebra
Intermediate

Logarithm Quotient Rule

The log of a quotient is the difference of the logs.

Formula

log⁡bxy=log⁡bx−log⁡by\log_b\frac{x}{y} = \log_b x - \log_b y

Variables

bBase
x,yArguments

Example

log(10/1)=1

Did You Know?

Logarithms were invented by John Napier in 1614 specifically to turn tedious division into simple subtraction.

logarithm