Math Doubts

Change of Base Logarithm formulas

The rule of changing the base of a logarithmic term is called the change of base rule of logarithmic term. In logarithms, the base of any logarithm term can be changed in three ways and they are used as change of base formulas in logarithms.

Change of Base Rule

The change of base logarithm formula in division form.

$\large \log_{b}{m} = \dfrac{\log_{d}{m}}{\log_{d}{b}}$

Product form

The change of base logarithm formula in product form.

$\large \log_{b} m = \log_{a} m \times \log_{b} a$

Switch Rule

The change of base logarithm formula in reciprocal form.

$\large \log_{b}{m} = \dfrac{1}{\log_{m}{b}}$

Math Doubts

A best free mathematics education website for students, teachers and researchers.

Maths Topics

Learn each topic of the mathematics easily with understandable proofs and visual animation graphics.

Maths Problems

Learn how to solve the maths problems in different methods with understandable steps.

Learn solutions

Subscribe us

You can get the latest updates from us by following to our official page of Math Doubts in one of your favourite social media sites.

Copyright © 2012 - 2021 Math Doubts, All Rights Reserved