# logarithm

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Related to logarithm: natural logarithm

## log·a·rithm

(lô′gə-rĭ*th*′əm, lŏg′ə-)

*n.*

*Mathematics*

The power to which a base, such as 10, must be raised to produce a given number. If

*n*the logarithm of^{x}= a,*a,*with*n*as the base, is*x;*symbolically, log*For example, 10*_{n}a = x.^{3}= 1,000; therefore, log_{10}1,000 = 3. The kinds most often used are the common logarithm (base 10), the natural logarithm (base*e*), and the binary logarithm (base 2).[New Latin logarithmus : Greek logos,

*reason, proportion*; see leg- in Indo-European roots + Greek arithmos,*number*; see ar- in Indo-European roots.]**log′a·rith′mic**(-rĭ

*th*′mĭk),

**log′a·rith′mi·cal**(-mĭ-kəl)

*adj.*

**log′a·rith′mi·cal·ly**

*adv.*

American Heritage® Dictionary of the English Language, Fifth Edition. Copyright © 2016 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.

## logarithm

(ˈlɒɡəˌrɪðəm)*n*

(Mathematics) 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

*a*=^{x}*M,*then the logarithm of*M*to the base*a*(written log*aM*) is*x*. Often shortened to:**log**See also common logarithm, natural logarithm[C17: from New Latin

*logarithmus,*coined 1614 by John Napier, from Greek*logos*ratio, reckoning +*arithmos*number]Collins English Dictionary – Complete and Unabridged, 12th Edition 2014 © HarperCollins Publishers 1991, 1994, 1998, 2000, 2003, 2006, 2007, 2009, 2011, 2014

## log•a•rithm

(ˈlɔ gəˌrɪð əm, -ˌrɪθ-, ˈlɒg ə-)*n.*

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 = log*)._{10}100Random House Kernerman Webster's College Dictionary, © 2010 K Dictionaries Ltd. Copyright 2005, 1997, 1991 by Random House, Inc. All rights reserved.

## log·a·rithm

(lô′gə-rĭ*th*′əm)

The power to which a base must be raised to produce a given number. For example, if the base is 10, then 3 is the logarithm of 1,000 (written log 1,000 = 3) because 10

^{3}= 1,000.The American Heritage® Student Science Dictionary, Second Edition. Copyright © 2014 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.

## logarithm

- From Greek logos, "reckoning, ratio," and arithmos, "number."See also related terms for reckoning.

Farlex Trivia Dictionary. © 2012 Farlex, Inc. All rights reserved.

ThesaurusAntonymsRelated WordsSynonyms

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Noun | 1. | logarithm - the exponent required to produce a given numberexponent, index, power - a mathematical notation indicating the number of times a quantity is multiplied by itself common logarithm - a logarithm to the base 10 Napierian logarithm, natural logarithm - a logarithm to the base e |

Based on WordNet 3.0, Farlex clipart collection. © 2003-2012 Princeton University, Farlex Inc.

Translations

**لوغاريثْم**

**logaritmus**

**logaritme**

**logaritmi**

**logaritam**

**logaritmus**

**lógaritmi**

**logaritmas**

**logaritms**

**logaritmus**

**logaritm**

**ลอการิทึม**

Collins Spanish Dictionary - Complete and Unabridged 8th Edition 2005 © William Collins Sons & Co. Ltd. 1971, 1988 © HarperCollins Publishers 1992, 1993, 1996, 1997, 2000, 2003, 2005

Collins English/French Electronic Resource. © HarperCollins Publishers 2005

## logarithm

Collins German Dictionary – Complete and Unabridged 7th Edition 2005. © William Collins Sons & Co. Ltd. 1980 © HarperCollins Publishers 1991, 1997, 1999, 2004, 2005, 2007

Collins Italian Dictionary 1st Edition © HarperCollins Publishers 1995

## logarithm

(ˈlogəriðəm)*noun*

(

*abbreviated to***log**(log) ) the number of times*eg 10*must be multiplied by itself to produce a particular number. 10 10 10 or 10^{3}= 1,000, so 3 is here the logarithm of 1,000.Kernerman English Multilingual Dictionary © 2006-2013 K Dictionaries Ltd.

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