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# logarithm

[ **law**-g*uh*-ri*th*-*uh*m, -rith-, **log**-*uh*- ]

## noun

*Mathematics.*

- the exponent of the power to which a base number must be raised to equal a given number; log:
*2 is the logarithm of 100 to the base 10 (2 = log10 100).*

logarithm

/ ˈlɒɡəˌrɪðəm /

## noun

- the exponent indicating the power to which a fixed number, the base, must be raised to obtain a given number or variable. It is used esp to simplify multiplication and division: if
*ax*=*M,*then the logarithm of*M*to the base*a*(written log*aM*) is*x*Often shortened tolog See also common logarithm natural logarithm

logarithm

/ lô**′**gə-rĭth′əm /

- The power to which a base must be raised to produce a given number. For example, if the base is 10, then the logarithm of 1,000 (written log 1,000 or log 10 1,000) is 3 because 10
^{3}= 1,000. - See more at common logarithm

## Word History and Origins

Origin of logarithm^{1}

## Word History and Origins

Origin of logarithm^{1}

*logarithmus,*coined 1614 by John Napier , from Greek

*logos*ratio, reckoning +

*arithmos*number

## Example Sentences

In 1614 John Napier had invented logarithms, showing how multiplication could be accomplished by addition.

FiveThirtyEight’s urbanization index is calculated as the natural logarithm of the average number of people living within a five-mile radius of a given resident.

This quantity is defined as the logarithm of a matrix — an array of numbers.

The new formula relies on the mathematical concept known as logarithms.

If the characteristic of a logarithm is negative, Oughtred indicates this fact by placing the - above the characteristic.

The logarithm of the number is then obtained by adding the previously calculated logarithms of the factors.

What is the probability that the fifth decimal of a logarithm taken at random from a table is a '9'?

We can calculate our logarithm without recourse to the table, but we do not wish to give ourselves the trouble.

In July, while at work on logarithm tables, he was overtaken by a sudden fainting fit, evidently of an epileptic nature.

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