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Natural logarithm


 

The natural logarithm, invented by John Napier, is the logarithm to the base e, where e is equal to 2.71828... (continuing forever as e is irrational, like π). The natural logarithm is defined for all positive real numbers x and can also be defined for non-zero complex numbers as will be explained below.

Related Topics:
John Napier - Logarithm - E - Irrational - π - Real numbers - Complex number

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Natural logarithm: Notational conventions ►

~ Table of Content ~

►Introduction
►Notational conventions
►Ln is the inverse of the natural exponential function
►Reason for being "natural"
►Definitions
►int_1^{ab} rac{1}{x} ; dx
►int_1^a rac{1}{x} ; dx ; + int_a^{ab} rac{1}{x} ; dx
►int_1^{a} rac{1}{x} ; dx ; + int_1^{b} rac{1}{t} ; dt
►ln (a) + ln (b)

 

 

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