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  1. 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.

  2. 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) …

  3. 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 …

  4. 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 …

  5. 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'.

  6. 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 …

  7. 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 …

  8. 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 …

  9. 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 …

  10. 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 …