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.

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.

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 …

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 …

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

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

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.