$\log_{b}{1} \,=\, 0$

The logarithm of one should be evaluated often with different bases in mathematics. So, it is essential for everyone to know the exact value of the logarithm of one at the beginning level of studying the logarithms. Actually, the logarithm of one to any base quantity is equal to zero and this property is called the logarithm of one rule.

Look at the following examples.

$(1).\,\,$ $\log_{5}{(1)} \,=\, 0$

$(2).\,\,$ $\log_{12}{(1)} \,=\, 0$

$(3).\,\,$ $\log_{617}{(1)} \,=\, 0$

You can understand that the value of the logarithm of one to any base number is zero. Hence, the base of the logarithm is denoted by an algebraic literal $b$ and the logarithm of one law can be expressed in algebraic form as follows.

$\therefore \,\,\,\,$ $\log_{b}{(1)} \,=\, 0$

Learn how to prove the logarithm of one property in algebraic form for using it as a formula in mathematics.

Latest Math Topics

Jan 06, 2023

Jan 03, 2023

Jan 01, 2023

Dec 26, 2022

Dec 08, 2022

Latest Math Problems

Nov 25, 2022

Nov 02, 2022

Oct 26, 2022

Oct 24, 2022

Sep 30, 2022

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

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

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

Copyright © 2012 - 2022 Math Doubts, All Rights Reserved