FromNew Latinlogarithmus, term coined by Scottish mathematicianJohn Napier fromAncient Greekλόγος(lógos,“word, reckoning”) andἀριθμός(arithmós,“number”); comparerational number, from analogousLatin.
- (UK)IPA(key): /ˈlɒɡ.ə.ɹɪ.ð(ə)m/,/ˈlɔɡ.ə.ɹɪ.ð(ə)m/
- (US)IPA(key): /ˈlɑ.ɡə.ɹɪ.ð(ə)m/,/ˈlɑ.ɡəɹ.ɹɪ.ðəm/,/ˈlɑɡ.ə.ɹɪðm/,/ˈlɑɡ.əɹ.ɹɪðm/
- (Canada)IPA(key): /ˈlɑ.ɡə.ɹɪ.ð(ə)m/
- Hyphenation:log‧a‧ri‧thm
logarithm (plurallogarithms)
- (mathematics) For a number
, theexponent by which a givenbase number must be raised in order to obtain thepower
. 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-10logarithm from one denomination to the next higher is either 0.3010 or 0.3979.
The power to which a given base number must be raised in order to obtain a given number
- Arabic:أَسِيس m(ʔasīs),لُوغَارِثْم m(lūḡāriṯm)
- Armenian:լոգարիթմ (hy)(logaritʻm)
- Bulgarian:логаритъм (bg) m(logaritǎm)
- Burmese:လော့ဂရစ်သမ်(lau.ga.racsam)
- Catalan:logaritme (ca) m
- Chinese:
- Hokkien:對數 /对数 (zh-min-nan)(tùi-sò͘),對數 /对数 (zh-min-nan)(tuì-siàu)(Taiwanese)
- Mandarin:對數 /对数 (zh)(duìshù)
- Czech:logaritmus (cs) m
- Danish:logaritme c
- Dutch:logaritme (nl) n
- Esperanto:logaritmo (eo)
- Finnish:logaritmi (fi)
- French:logarithme (fr) m
- Galician:logaritmo (gl) m
- Georgian:ლოგარითმი(logaritmi)
- German:Logarithmus (de) m
- Greek:λογάριθμος (el) m(logárithmos)
- Gujarati:લઘુગણક(laghugṇak)
- Hawaiian:huhui helu
- Hindi:लघुगणक(laghugṇak)
- Hungarian:logaritmus (hu)
- Icelandic:logri m
- Indonesian:logaritma (id)
- Italian:logaritmo (it) m
- Japanese:対数 (ja)(たいすう, taisū)
- Kannada:ಪೆರ್ಚುಪಟ್ಟು (kn)(percupaṭṭu),ಪಟ್ಟೇರುಕ (kn)(paṭṭēruka),ಲಘುಗಣಕ (kn)(laghugaṇaka)
- Khmer:លោការីត(lookaariit)
- Korean:로그 (ko)(rogeu),대수(對數) (ko)(daesu)
- Latin:logarithmus m
- Latvian:logaritms m
- Macedonian:логари́там m(logarítam)
- Māori:taupū kōaro,pūkōaro
- Norwegian:
- Bokmål:logaritme (no) m
- Nynorsk:logaritme m
- Polish:logarytm (pl) m
- Portuguese:logaritmo (pt) m
- Punjabi:ਲਘੂਗਣਕ(laghūgṇak)
- Romanian:logaritm (ro) m
- Russian:логари́фм (ru) m(logarífm)
- Serbo-Croatian:
- Cyrillic:логаритам m
- Latin:logaritam (sh) m
- Shona:mhetapawa,davanharu
- Sinhalese:ලඝු ගණක(laghu gaṇaka)
- Slovene:logaritem (sl) m
- Spanish:logaritmo (es) m
- Swedish:logaritm (sv) c
- Tagalog:logpaulit
- Tamil:மடக்கை (ta)(maṭakkai)
- Thai:ลอการิทึม(lɔɔ-gaa-rí-tʉm)
- Turkish:logaritma (tr)
- Ottoman Turkish:لوغاریتمه(logaritma)
- Ukrainian:логари́фм (uk) m(loharýfm),логари́тм m(loharýtm)
- Vietnamese:đối số (對數),lôga,lôgarit,lô-ga-rít (vi)
- Welsh:logarithm m
- Yiddish:לאָגאַריטם m(logaritm)
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Other terms used inarithmetic operations:
Advancedhyperoperations:tetration,pentation,hexation