Word Pronunciation & Dictionary

logarithm

/ˈlɑ.ɡə.ɹɪ.ð(ə)m/

Word Rarity Rare

Frequency: Zipf frequency 2.52 in modern English

Syllables: log-a-ri-thm
IPA: /ˈlɑ.ɡə.ɹɪ.ð(ə)m/

15

Scrabble Score

9

Letters

4

Syllables

9

Unique Chars

Meaning

noun

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.

Example Sentences

"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."

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.

Origin

Source language: Ancient Greek

Word Breakdown

Root: logarithmus, λόγος

Regional Pronunciation

American English: /ˈlɑ.ɡə.ɹɪ.ð(ə)m/
British English: /ˈlɒɡ.ə.ɹɪ.ð(ə)m/

Inflected Forms

logarithms (plural)

Derived Forms

antilogarithm cologarithm dilogarithm log logarithmal logarithmancy logarithmic logarithmisation logarithmise logarithmize mesologarithm polylogarithm

Phrases

binary logarithm Briggsian logarithm Briggs logarithm common logarithm Naperian logarithm Napierian logarithm natural logarithm ternary logarithm

Frequently Paired Words

successor + = + +... = − = × = × ×... = ÷ = Or sometimes

Synonyms

log

Questions

How do you pronounce logarithm?: The recorded pronunciation is /ˈlɑ.ɡə.ɹɪ.ð(ə)m/.
What does logarithm mean?: 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.
Where does logarithm come from?: It is traced to Ancient Greek.

How to pronounce logarithm

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