
Natural logarithm - Wikipedia
The notations ln x and loge x both refer unambiguously to the natural logarithm of x, and log x without an explicit base may also refer to the natural logarithm.
What is the "natural" log, and why do we need it? | Purplemath
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) …
Demystifying the Natural Logarithm (ln) – BetterExplained
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 …
Natural Logarithm - Definition, Formula, Rules, Graph, & Examples
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 …
Natural Log - GeeksforGeeks
Jul 23, 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'.
Natural logarithm | Definition, Rules, & Facts | Britannica
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 …
What is: Natural Log - Understanding Its Importance
What is: Natural Log What is Natural Log? The natural logarithm, often denoted as ln (x), is a logarithm to the base e, where e is an irrational constant approximately equal to 2.71828. This …
Common and Natural Logarithm (video lessons, examples and …
The natural logarithm has base e, a famous irrational number, and is represented on the calculator by ln (x). The natural and common logarithm can be found throughout Algebra and …
Natural Logarithm: What It Is, Applications, and Examples
Feb 14, 2025 · What is Natural Logarithm? The natural logarithm, represented as ln(x), is the logarithmic function with base e, where e ≈ 2.71828. In essence, it answers the question: “To …
Natural Logarithm - from Wolfram MathWorld
Dec 3, 2025 · The principal value of the natural logarithm is implemented in the Wolfram Language as Log [x], which is equivalent to Log [E, x]. This function is illustrated above in the …