logarithm en · NOUN
Pronunciation
- /ˈlɑɡ.ə.ɹɪðm/ (US)
- /ˈlɒɡ.ə.ɹɪ.ð(ə)m/ (UK)
- /ˈlɑɡ.əɹ.ɹɪðm/ (US)
- /ˈlɑ.ɡə.ɹɪ.ð(ə)m/ (Canada)
- (Southern-England) audio
- /ˈlɑ.ɡəɹ.ɹɪ.ðəm/ (US)
- /ˈlɑ.ɡə.ɹɪ.ð(ə)m/ (US)
- /ˈlɔɡ.ə.ɹɪ.ð(ə)m/ (UK)
Etymology
From New Latin logarithmus, coined by Scottish mathematician John Napier from Ancient Greek λόγος (lógos, “ratio, proportion”) and ἀριθμός (arithmós, “number”). Napier set a geometric progression (a sequence of equal ratios) against an arithmetic progression (a sequence of equal differences), so that the logarithm of a number counts the ratios separating it from a starting value, turning multiplication into addition.
Meanings
-
For a number x, the exponent by which a given base number must be raised in order to obtain the power x. Written log _bx. For example, log ₁₀1000=3 because 10³=1000 and log ₂16=4 because 2⁴=16.
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.
Forms
| Spelling | Features | Labels | Source |
|---|---|---|---|
| logarithms | Number=Plur | lexicographic |
Deriveds
dilogarithm · Naperian logarithm · logarithmize · antilogarithm · Napierian logarithm · log · logarithmisation · natural logarithm · mesologarithm · binary logarithm · common logarithm · logarithmal · Briggs logarithm · logarithmancy · polylogarithm · cologarithm · logarithmise · ternary logarithm · superlogarithm · logarithmic · trilogarithm · Briggsian logarithm
Relateds
successor · × ×... = (multiplication, factorization; factor) · characteristic · + +... = (addition, summation) · mantissa · √ = (root extraction; degree) · ln · − = (subtraction) · × = (multiplication, factorization; multiplier) · + = (addition, summation) · Or sometimes (numerator) / (denominator) = (quotient) · = (exponentiation; base) · ÷ = (division; dividend) · log(base) = (logarithmization)
Synonyms
Translations (65)
id logaritma (The power to which a given base number must be raised in order to obtain a given number) · sh logaritam (The power to which a given base number must be raised in order to obtain a given number) · ta மடக்கை (The power to which a given base number must be raised in order to obtain a given number) · ca logaritme (The power to which a given base number must be raised in order to obtain a given number) · lv logaritms (The power to which a given base number must be raised in order to obtain a given number) · km លោការីត (The power to which a given base number must be raised in order to obtain a given number) · pt logaritmo (The power to which a given base number must be raised in order to obtain a given number) · cy logarithm (The power to which a given base number must be raised in order to obtain a given number) · mi taupū kōaro (The power to which a given base number must be raised in order to obtain a given number) · kn ಪಟ್ಟೇರುಕ (The power to which a given base number must be raised in order to obtain a given number) · hu logaritmus (The power to which a given base number must be raised in order to obtain a given number) · vi đối số (The power to which a given base number must be raised in order to obtain a given number) · bg логаритъм (The power to which a given base number must be raised in order to obtain a given number) · ota لوغاریتمه (The power to which a given base number must be raised in order to obtain a given number) · el λογάριθμος (The power to which a given base number must be raised in order to obtain a given number) · ar لُوغَارِثْم (The power to which a given base number must be raised in order to obtain a given number) · ko 대수 (The power to which a given base number must be raised in order to obtain a given number) · ko 로그 (The power to which a given base number must be raised in order to obtain a given number) · gu લઘુગણક (The power to which a given base number must be raised in order to obtain a given number) · uk логари́тм (The power to which a given base number must be raised in order to obtain a given number) · pl logarytm (The power to which a given base number must be raised in order to obtain a given number) · sv logaritm (The power to which a given base number must be raised in order to obtain a given number) · uk логари́фм (The power to which a given base number must be raised in order to obtain a given number) · hi लघुगणक (The power to which a given base number must be raised in order to obtain a given number) · hy լոգարիթմ (The power to which a given base number must be raised in order to obtain a given number) · nb logaritme (The power to which a given base number must be raised in order to obtain a given number) · th ลอการิทึม (The power to which a given base number must be raised in order to obtain a given number) · ar أَسِيس (The power to which a given base number must be raised in order to obtain a given number) · vi lô-ga-rít (The power to which a given base number must be raised in order to obtain a given number) · si ලඝු ගණක (The power to which a given base number must be raised in order to obtain a given number) · ka ლოგარითმი (The power to which a given base number must be raised in order to obtain a given number) · sl logaritem (The power to which a given base number must be raised in order to obtain a given number) · yi לאָגאַריטם (The power to which a given base number must be raised in order to obtain a given number) · nl logaritme (The power to which a given base number must be raised in order to obtain a given number) · mk логари́там (The power to which a given base number must be raised in order to obtain a given number) · ru логари́фм (The power to which a given base number must be raised in order to obtain a given number) · my လော့ဂရစ်သမ် (The power to which a given base number must be raised in order to obtain a given number) · mi pūkōaro (The power to which a given base number must be raised in order to obtain a given number) · tr logaritma (The power to which a given base number must be raised in order to obtain a given number) · haw huhui helu (The power to which a given base number must be raised in order to obtain a given number) · nan-hbl 對數 /对数 (The power to which a given base number must be raised in order to obtain a given number) · de Logarithmus (The power to which a given base number must be raised in order to obtain a given number) · kn ಪೆರ್ಚುಪಟ್ಟು (The power to which a given base number must be raised in order to obtain a given number) · vi lôgarit (The power to which a given base number must be raised in order to obtain a given number) · la logarithmus (The power to which a given base number must be raised in order to obtain a given number) · fi logaritmi (The power to which a given base number must be raised in order to obtain a given number) · ro logaritm (The power to which a given base number must be raised in order to obtain a given number) · cmn 對數 /对数 (The power to which a given base number must be raised in order to obtain a given number) · da logaritme (The power to which a given base number must be raised in order to obtain a given number) · sh логаритам (The power to which a given base number must be raised in order to obtain a given number) · kn ಲಘುಗಣಕ (The power to which a given base number must be raised in order to obtain a given number) · es logaritmo (The power to which a given base number must be raised in order to obtain a given number) · pa ਲਘੂਗਣਕ (The power to which a given base number must be raised in order to obtain a given number) · cs logaritmus (The power to which a given base number must be raised in order to obtain a given number) · sn mhetapawa (The power to which a given base number must be raised in order to obtain a given number) · tl logpaulit (The power to which a given base number must be raised in order to obtain a given number) · gl logaritmo (The power to which a given base number must be raised in order to obtain a given number) · fr logarithme (The power to which a given base number must be raised in order to obtain a given number) · eo logaritmo (The power to which a given base number must be raised in order to obtain a given number) · vi lôga (The power to which a given base number must be raised in order to obtain a given number) · it logaritmo (The power to which a given base number must be raised in order to obtain a given number) · is logri (The power to which a given base number must be raised in order to obtain a given number) · nn logaritme (The power to which a given base number must be raised in order to obtain a given number) · ja 対数 (The power to which a given base number must be raised in order to obtain a given number) · sn davanharu (The power to which a given base number must be raised in order to obtain a given number)