A system of developing logarithms by considering a number as base is called system of logarithm.

Infinite number of logarithmic systems can be developed by considering infinite numbers as base but there are few logarithmic systems, which are really and widely in scientific applications in various fields. Here are three important logarithmic systems which play vital role in different fields of science.

John Napier introduced natural logarithmic system by using a mathematical concept $e$ to express any number into multiplicative factors of $e$.

Henry Briggs understood the complicity of Napier logarithm and introduced common logarithm by using $10$ as base to express any number into multiplicative terms of $10$.

Michael Stifel introduced Binary Logarithm by using $2$ as base to express any number into multiplicative terms of $2$.

List of most recently solved mathematics problems.

Jul 04, 2018

Limit (Calculus)

Evaluate $\displaystyle \large \lim_{x \,\to\, \tan^{-1}{3}} \normalsize {\dfrac{\tan^2{x}-2\tan{x}-3}{\tan^2{x}-4\tan{x}+3}}$

Jun 23, 2018

Limit (Calculus)

Evaluate $\displaystyle \large \lim_{x \to 0} \normalsize \dfrac{e^{x^2}-\cos{x}}{x^2}$

Jun 22, 2018

Integral Calculus

Evaluate $\displaystyle \int \dfrac{1+\cos{4x}}{\cot{x}-\tan{x}} dx$

Jun 21, 2018

Limit

Evaluate $\displaystyle \large \lim_{x \to \infty} \normalsize {\sqrt{x^2+x+1}-\sqrt{x^2+1}}$

Math Doubts is a best place to learn mathematics and from basics to advanced scientific level for students, teachers and researchers.
Know more

Learn how to solve easy to difficult mathematics problems of all topics in various methods with step by step process and also maths questions for practising.