Logarithm: meaning, definitions and examples

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logarithm

 

[ หˆlษ’ษกษ™หŒrษชรฐษ™m ]

Noun
Context #1 | Noun

mathematics term

A logarithm is the exponent or power to which a number (the base) must be raised to produce a given number. In simpler terms, if you have an equation in the form of b^y = x, then log_b(x) = y. Logarithms are used to simplify calculations and solve equations involving exponential growth.

Synonyms

exponent, log

Examples of usage

  • The logarithm of 1000 to the base 10 is 3.
  • In science, logarithms help model exponential decay.
  • Engineers use logarithms to calculate sound intensity levels.

Translations

Translations of the word "logarithm" in other languages:

๐Ÿ‡ต๐Ÿ‡น logaritmo

๐Ÿ‡ฎ๐Ÿ‡ณ เคฒเค˜เฅเค—เคฃเค•

๐Ÿ‡ฉ๐Ÿ‡ช Logarithmus

๐Ÿ‡ฎ๐Ÿ‡ฉ logaritma

๐Ÿ‡บ๐Ÿ‡ฆ ะปะพะณะฐั€ะธั„ะผ

๐Ÿ‡ต๐Ÿ‡ฑ logarytm

๐Ÿ‡ฏ๐Ÿ‡ต ๅฏพๆ•ฐ

๐Ÿ‡ซ๐Ÿ‡ท logarithme

๐Ÿ‡ช๐Ÿ‡ธ logaritmo

๐Ÿ‡น๐Ÿ‡ท logaritma

๐Ÿ‡ฐ๐Ÿ‡ท ๋กœ๊ทธ

๐Ÿ‡ธ๐Ÿ‡ฆ ู„ูˆุบุงุฑูŠุชู…

๐Ÿ‡จ๐Ÿ‡ฟ logaritmus

๐Ÿ‡ธ๐Ÿ‡ฐ logaritmus

๐Ÿ‡จ๐Ÿ‡ณ ๅฏนๆ•ฐ

๐Ÿ‡ธ๐Ÿ‡ฎ logaritem

๐Ÿ‡ฎ๐Ÿ‡ธ logaritmi

๐Ÿ‡ฐ๐Ÿ‡ฟ ะปะพะณะฐั€ะธั„ะผ

๐Ÿ‡ฌ๐Ÿ‡ช แƒšแƒแƒ’แƒแƒ แƒ˜แƒ—แƒ›แƒ˜

๐Ÿ‡ฆ๐Ÿ‡ฟ loqaritma

๐Ÿ‡ฒ๐Ÿ‡ฝ logaritmo

Etymology

The term 'logarithm' was coined in the early 17th century by the Scottish mathematician John Napier. It is derived from the Greek words 'logos,' meaning 'ratio' or 'word,' and 'arithmos,' meaning 'number.' Napier introduced this concept in his work 'Mirifici Logarithmorum Canonis' in 1614. The initial purpose of logarithms was to facilitate calculations by transforming multiplicative processes into additive ones, which greatly accelerated computation before the invention of calculators. The use of logarithms expanded significantly after the introduction of the slide rule, which utilized logarithmic scales for easy and efficient calculation. Over time, logarithms have become a fundamental concept in mathematics, especially in fields such as algebra, calculus, and statistics.

Word Frequency Rank

With rank #15,801, this word belongs to specialized vocabulary. While not common in everyday speech, it enriches your ability to express complex ideas.