Algebra

Logarithm Change of Base

Rewrites a logarithm using another base.

log_b(x)=ln(x)/ln(b)

Variables

x
positive argument
b
positive base not 1

Example

log₂8=ln8/ln2=3

How to use this formula

Identify the known values, keep units consistent, substitute the values into the formula, and calculate carefully. Then check whether the result is reasonable for the original problem.