Definitions for logarithm
ˈlɔ gəˌrɪð əm, -ˌrɪθ-, ˈlɒg ə-log·a·rithm

Princeton's WordNetRate this definition:0.0 / 0 votes

1. logarithm, lognoun

   the exponent required to produce a given number

WiktionaryRate this definition:0.0 / 0 votes

1. logarithmnoun

   For a number , the power to which a given base number must be raised in order to obtain . Written . For example, because and because .

2. Etymology: From logarithmus, term coined by Scot mathematician John Napier from λόγος and ἀριθμός.

WikipediaRate this definition:0.0 / 0 votes

1. Logarithm

   In mathematics, the logarithm is the inverse function to exponentiation. That means the logarithm of a number x to the base b is the exponent to which b must be raised, to produce x. For example, since 1000 = 103, the logarithm base 10 of 1000 is 3, or log10 (1000) = 3. The logarithm of x to base b is denoted as logb (x), or without parentheses, logb x, or even without the explicit base, log x, when no confusion is possible, or when the base does not matter such as in big O notation. The logarithm base 10 is called the decimal or common logarithm and is commonly used in science and engineering. The natural logarithm has the number e ≈ 2.718 as its base; its use is widespread in mathematics and physics, because of its very simple derivative. The binary logarithm uses base 2 and is frequently used in computer science.

ChatGPTRate this definition:0.0 / 0 votes

1. logarithm

   A logarithm is a mathematical function that determines the number of times a certain number, called the base, is multiplied by itself to reach another number. It is the inverse operation to exponentiation and is usually expressed as logb (N) = x, where b is the base, N is the number you're taking the logarithm of, and x is the result. It is commonly used in mathematics, physics, engineering, and computer science for calculations involving exponential growth or decay.

Webster DictionaryRate this definition:0.0 / 0 votes

1. Logarithmnoun

   one of a class of auxiliary numbers, devised by John Napier, of Merchiston, Scotland (1550-1617), to abridge arithmetical calculations, by the use of addition and subtraction in place of multiplication and division

2. Etymology: [Gr. lo`gos word, account, proportion + 'ariqmo`s number: cf. F. logarithme.]

WikidataRate this definition:0.0 / 0 votes

1. Logarithm

   The logarithm of a number is the exponent to which another fixed value, the base, must be raised to produce that number. For example, the logarithm of 1000 to base 10 is 3, because 1000 is 10 to the power 3: 1000 = 10 × 10 × 10 = 10³. More generally, if x = b, then y is the logarithm of x to base b, and is written y = logb(x), so log10 = 3. The logarithm to base b = 10 is called the common logarithm and has many applications in science and engineering. The natural logarithm has the constant e as its base; its use is widespread in pure mathematics, especially calculus. The binary logarithm uses base b = 2 and is prominent in computer science. Logarithms were introduced by John Napier in the early 17th century as a means to simplify calculations. They were rapidly adopted by navigators, scientists, engineers, and others to perform computations more easily, using slide rules and logarithm tables. Tedious multi-digit multiplication steps can be replaced by table look-ups and simpler addition because of the fact—important in its own right—that the logarithm of a product is the sum of the logarithms of the factors: The present-day notion of logarithms comes from Leonhard Euler, who connected them to the exponential function in the 18th century.

Chambers 20th Century DictionaryRate this definition:0.0 / 0 votes

1. Logarithm

   log′a-rithm, n. (of a number) the power to which another given number must be raised in order that it may equal the former number: one of a series of numbers having a certain relation to the series of natural numbers by means of which many arithmetical operations are simplified.—adjs. Logarith′mic, -al, pertaining to, or consisting of, logarithms.—adv. Logarith′mically. [Gr. logos, ratio, arithmos, number.]

The Nuttall EncyclopediaRate this definition:0.0 / 0 votes

1. Logarithm

   the exponent of the power to which a fixed number, called the base, must be raised to produce a certain given number.

The Standard Electrical DictionaryRate this definition:0.0 / 0 votes

1. Logarithm

   The exponent of the power to which it is necessary to raise a fixed number to produce a given number. The fixed number is the base of the system. There are two systems; one, called the ordinary system, has 10 for its base, the other, called the Naperian system, has 2.71828 for its base. The latter are also termed hyperbolic logarithms, and are only used in special calculations.

Anagrams for logarithm »

1. algorithm

How to pronounce logarithm?

1. Alex

   US English

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   Daniel

   British

   Libby

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   Australian

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How to say logarithm in sign language?

Numerology

1. Chaldean Numerology

   The numerical value of logarithm in Chaldean Numerology is: 3

2. Pythagorean Numerology

   The numerical value of logarithm in Pythagorean Numerology is: 4

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References

1. ^ Princeton's WordNet
   http://wordnetweb.princeton.edu/perl/webwn?s=logarithm
2. ^ Wiktionary
   https://en.wiktionary.org/wiki/Logarithm
3. ^ Wikipedia
   https://en.wikipedia.org/wiki/Logarithm
4. ^ ChatGPT
   https://chat.openai.com
5. ^ Webster Dictionary
   https://www.merriam-webster.com/dictionary/logarithm
6. ^ Wikidata
   https://www.wikidata.org/w/index.php?search=logarithm
7. ^ Chambers 20th Century Dictionary
   https://www.gutenberg.org/files/37683/37683-h/37683-h.htm#:~:text=logarithm
8. ^ The Nuttall Encyclopedia
   https://www.gutenberg.org/cache/epub/12342/pg12342-images.html#Logarithm
9. ^ The Standard Electrical Dictionary
   https://www.gutenberg.org/cache/epub/26535/pg26535-images.html#:~:text=logarithm