logarithm
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English
Etymology
From New Latin logarithmus, term coined by Scot mathematician John Napier from Ancient Greek λόγος (lógos, “word, reason”) and ἀριθμός (arithmós, “number”); compare rational number, from analogous Latin.
Pronunciation
- (US) IPA(key): /ˈlɑ.ɡə.ɹɪ.ð(ə)m/, /ˈlɑɡəɹ.ɹɪ.ðəm/, /ˈlɑɡ.ə.ɹɪðm/, /ˈlɑɡ.əɹ.ɹɪðm/
Audio (Southern England) (file) - Hyphenation: log‧a‧ri‧thm
Noun
logarithm (plural logarithms)
- (mathematics) For a number , the power to which a given base number must be raised in order to obtain . Written . For example, because and because .
- For a currency which uses denominations of 1, 2, 5, 10, 20, 50, 100, 200, 500, 1000, etc., each jump in the base-10 logarithm from one denomination to the next higher is either 0.3010 or 0.3979.
Synonyms
Derived terms
Translations
The power to which a given base number must be raised in order to obtain a given number
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See also
Other terms used in arithmetic operations:
- successor
- addition, summation:
- subtraction:
- (minuend) − (subtrahend) = (difference)
- multiplication, factorization:
- (multiplier) × (multiplicand) = (product)
- (factor) × (factor) × (factor)... = (product)
- division:
- exponentiation:
- root extraction:
- logarithmization:
- log(base) (antilogarithm) = (logarithm)
Advanced hyperoperations: tetration, pentation, hexation