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## 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 ^{x} = a,* the logarithm of

*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).

**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.

ThesaurusAntonymsRelated WordsSynonyms**Legend:**

Adv. |
1. |
logarithmically – in a logarithmic manner; “data plotted logarithmically with respect to time is shown in Figure 2” |

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