logarithm

WordNet-Online
Free dictionary and thesaurus of English. Definitions, synonyms, antonyms and more...
Hint: double-click any word to get it searched!

Definitions from WordNet

Noun logarithm has 1 sense

logarithm, log - the exponent required to produce a given number
--₁ is a kind of exponent, power, index
--₁ has particulars: common logarithm; natural logarithm, Napierian logarithm

Definitions from the Web

Logarithm

A logarithm is a mathematical function that describes the relationship between a base number and a given number raised to a certain power. It provides a way to solve for an unknown exponent in an exponential equation. Logarithms are widely used in various fields of mathematics, science, and engineering.

Senses and Usages:

1. Noun - Mathematical Concept

In mathematics, a logarithm is the exponent to which a specified base must be raised to obtain a given number. It can be denoted as log_b(x) = y, where x is the value, b is the base, and y is the logarithm.

Sample Sentence:

<blockquote>The logarithm of 1000 to the base 10 is equal to 3.</blockquote>

2. Noun - Measuring Scale

A logarithm can also refer to a measuring scale designed to represent exponential values in a more manageable way. It compresses a wide range of data into a smaller range, making it easier to compare and analyze.

Sample Sentence:

<blockquote>On the Richter scale, each increase of one unit represents a tenfold increase in earthquake magnitude according to the logarithm of base 10.</blockquote>

3. Adjective - Popular or Local

When used as an adjective, "logarithm" can describe something as widely popular or restricted to a specific location or group.

Sample Sentence:

<blockquote>Last year's technological innovation became logarithm, with everyone adopting it in their daily lives.</blockquote>