Algebra
Intermediate

Logarithm Product Rule

The log of a product is the sum of the logs.

Formula

log⁡b(xy)=log⁡bx+log⁡by\log_b(xy) = \log_b x + \log_b y

Variables

bBase
x,yArguments

Example

log(100) = log(10)+log(10) = 2

Did You Know?

Turning multiplication into addition, this log law powered slide rules that guided engineers to the Moon.

logarithm