What is Natural Log?
Natural log is the log of a number with base “e” where ‘e’ is Euler number and its value is 2.718 (approximately). The natural log is defined by the symbol ‘ln’. The natural log formula is given as, suppose, ex = a then loge = a, and vice versa. Here loge is also called a natural log i.e., log with base e. The natural log is always represented by the symbol “ln”. Thus, ln x = loge x.
For example, the natural log of a positive number is ‘ln x’. The natural log of numbers is a way of representing an exponent. Suppose we are given the exponent ex then its natural log is ln x.
Natural Log Definition
Natural log of any number is defined as the way of representing an exponent. Let take an exponent,
ex = y
Then natural log of number is,
y = ln (x)
Image added below explains the definition of the log.
Natural Log
Natural Log in mathematics is a way of representing the exponents. We know that a logarithm is always defined with abase and for the natural log, the base is “e”. The natural log is used for solving various problems of Integration, Differentiation, and others.
In this article, we will learn about Natural log, Natural Log Formula, Examples, and others in detail.
Table of Content
- What is Natural Log?
- Natural Log Formula
- Natural Logarithms Table
- Natural Log Derivatrive
- Natural Log Integration
- Natural Lag Laws