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]

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 …

Nov 28, 2025 · 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.

May 24, 2024 · The natural logarithm (base-e-logarithm) of a positive real number x, represented by lnx or log e x, is the exponent to which the base ‘e’ (≈ 2.718…, Euler’s number) is raised to obtain ‘x.’

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 …

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'.

Dec 3, 2025 · In this work, denotes a natural logarithm, whereas denotes the common logarithm. There are a number of notational conventions in common use for indication of a power of a natural logarithm.

Often abbreviated as ln. Illustrated definition of Natural Logarithm: The logarithm of a number using base e (which is Euler's Number 2.71828...) It is how many times we need...

The common logarithm has base 10, and is represented on the calculator as log (x). The natural logarithm has base e, a famous irrational number, and is represented on the calculator by ln (x).

Logarithm is another way of writing exponent. The problems that cannot be solved using only exponents can be solved using logs. Learn more about logarithms and rules to work on them in detail.