natural logarithms

Base-e exponential inverses

Natural logarithms are logarithms using the base *e* (approximately 2.718), the mathematical constant that arises naturally in calculus and exponential growth.

Written as ln(x), the natural logarithm of a number is the power to which *e* must be raised to produce that number.

The natural logarithm of e itself is 1.

Central to calculus because the derivative of ln(x) is simply 1/x.

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growth rate · base · radioactive decay · carbon dating · constant · e · inverse function · infinite series · mantissa · derivative · scientific calculators · population growth · slide rule · transcendentals · geometric progression · calculus · half-life · differential equations

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inverse operation

natural logarithmsexponential function

Output multiplies by fixed ratio

antilogarithm · exponentiation

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