natural logs

Base-e logarithms

Natural logs are logarithms with base *e* (approximately 2.718), written as ln(x) in mathematics.

They arise naturally in calculus and appear throughout physics, economics, and engineering wherever continuous growth or decay occurs: The natural log of e is 1.

The term distinguishes them from common logarithms (base 10).

notation

ln

Logarithm base e

slide rule

exponential

e

Fifth alphabetic character

exponentiation · compound interest · exponential growth · exponential decay · rate of change · doubling time · transcendental · irrational number · mathematical constant

decay

half-life

Period for fifty-percent reduction

radiometric dating · isotopes · fossils · geology · paleontology · archaeology · potassium-argon · radiocarbon · exponential decay · dating methods

calculus

integration

Combining into a whole

chain rule · u-substitution · integral calculus · differential calculus · limits · asymptotes

growth

population growth

Increase in inhabitants over time

compound growth · continuous growth · epidemiology · growth models · doubling time · exponential growth · Malthusian

Opposites
mathematical operation type

natural logsexponential functions

Equations with variable exponents

antilogarithms · exponentials · exponentiation · exp

Family

natural, nature, naturals, naturally, naturalness, naturalize, naturalized, naturalization, unnatural

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