$\log_{b^y}{m^x}$ $\,=\,$ $\Big(\dfrac{x}{y}\Big)\log_{b}{m}$

Logarithm of a quantity can be calculated by expressing quantity and base quantity of logarithmic term in exponential form, then the value of product of quotient of exponent of quantity by exponent of base quantity and log of base of quantity to base of base quantity gives the logarithm of quantity.

This mathematical identity is called as double power rule property of logarithms and it is used as a formula when the quantity and base quantity of logarithmic term are expressed in exponential notation.

Learn how to derive property of double power rule of logarithms in algebraic form when quantity and base quantity of log term are written in exponential form.

Latest Math Topics

Jul 24, 2024

Dec 13, 2023

Jul 20, 2023

Latest Math Problems

Jan 30, 2024

Oct 15, 2023

Copyright © 2012 - 2023 Math Doubts, All Rights Reserved