# logarithm

## log·a·rithm

*noun*\ˈlȯ-gə-ˌri-

__th__əm, ˈlä-\

mathematics : a number that shows how many times a base number (such as ten) is multiplied by itself to produce a third number (such as 100)

## Full Definition of *LOGARITHM*

**:**the exponent that indicates the power to which a base number is raised to produce a given number <the

*logarithm*of 100 to the base 10 is 2>

**log·a·rith·mic**\ˌlȯ-gə-ˈri

__th__-mik, ˌlä-\

*adjective*

**log·a·rith·mi·cal·ly**\-mi-k(ə-)lē\

*adverb*

## Origin of *LOGARITHM*

*logarithmus,*from

*log-*+ Greek

*arithmos*number — more at arithmetic

## Other Mathematics and Statistics Terms

## logarithm

*noun*

*(Concise Encyclopedia)*

In mathematics, the power to which a base must be raised to yield a given number (e.g., the logarithm to the base 3 of 9, or log 9, is 2, because 3^{2} = 9). A common logarithm is a logarithm to the base 10. Thus, the common logarithm of 100 (log 100) is 2, because 10^{2} = 100. Logarithms to the base *e*, in which *e* = 2.71828…, called natural logarithms (ln), are especially useful in calculus. Logarithms were invented to simplify cumbersome calculations, since exponents can be added or subtracted to multiply or divide their bases. These processes have been further simplified by the incorporation of logarithmic functions into digital calculators and computers. *See also* John Napier.

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