Math Doubts

Power Law of Logarithms

Formula

$\log_{b}{(m^{\displaystyle n})}$ $\,=\,$ $n\log_{b}{m}$

Logarithm of a quantity can be evaluated by expressing the quantity in exponential form by using power rule of logarithms. It is actually done by multiplying the exponent with logarithm of base of quantity in exponential form.

The identity of Power rule of logarithms is mostly used in dealing quantities which can be expressed in exponential notation.

Proof

Learn how to derive the property of power rule of logarithms in algebraic form.

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