The natural logarithm of a number is its logarithm to the base of the mathematical constant e, which is an irrational and transcendental number approximately equal to 2.718 281 828 459. [1]

Given how the natural log is described in math books, there’s little “natural” about it: it’s defined as the inverse of e x, a strange enough exponent already. But there’s a fresh, intuitive explanation: The …

May 24, 2024 · What is natural logarithm with properties, graph, and examples. Also, learn how to solve equations with natural logarithm.

The natural log is the base- e log, where e is the natural exponential, being a number that is approximately equal to 2.71828. The natural log has its own notation, being denoted as ln (x) and …

Jan 17, 2020 · In this guide, we explain the four most important natural logarithm rules, discuss other natural log properties you should know, go over several examples of varying difficulty, and explain …

Natural logarithm is the logarithm to the base e of a number. Natural logarithm rules, ln (x) rules.

Feb 27, 2026 · The natural logarithm follows the same rules as the common logarithm (logarithm with base 10, usually written as log). That is, ln (ab) = ln a + ln b; ln (a / b) = ln a – ln b; and ln (ab) = b ln a.

The logarithm rules are the same for both natural and common logarithms (log, log a, and ln). The base of the log just carries to every log while applying the rules.

Dec 27, 2025 · 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'.

Because of the way we defined the natural logarithm, the following differentiation formula falls out immediately as a result of to the Fundamental Theorem of Calculus.