logarithm

/ˈlɒɡ.ə.ɹɪ.ð(ə)m/

//ˈlɒɡ.ə.ɹɪ.ð(ə)m// noun

"logarithm" is a 9-letter English headword indexed on PlainSpell.

The verdict

“logarithm” is uncommon English (frequency #51,828 among 16,425 “L” headwords), classed as a noun. The kind of spelling people second-guess.

#51,828
frequency rank, English
16,425
“L” headwords

According to Wiktionary data (CC BY-SA, analyzed May 6, 2026) - 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.

Key facts for logarithm
PropertyValue
Headwordlogarithm
LanguageEnglish
Part of speechNoun
IPA/ˈlɒɡ.ə.ɹɪ.ð(ə)m/
Letters9
Frequency rank#51,828
Misspellings tracked0
Confusable pairs0
SourceWiktionary (kaikki.org)

Where “logarithm” sits in English frequency

Every-word frequency runs from the handful of words we use constantly (left) to the long tail used once in a blue moon (right). logarithm lands here:

#1#100#1K#10K#100K
← used constantlyrarely used →

Scale is logarithmic (each tick is 10× rarer). Source: FrequencyWords open word-frequency list.

Rare enough to double-check

logarithm is uncommon English at frequency #51,828 among 16,425 “L” headwords, classed as anoun, transcribed /ˈlɒɡ.ə.ɹɪ.ð(ə)m/. Rarity is why readers land here mid-draft. Gloss: "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.".

Zero misspellings are on record for logarithm in our index, since its letter sequence doesn't invite the usual edit-distance slips. This headword has no recorded confusable partner, since nothing in our dataset looks or sounds close enough to cause mix-ups.

Etymologically, the entry records: From New Latin logarithmus, term coined by Scottish mathematician John Napier from Ancient Greek λόγος (lógos, “word, reckoning”) and ἀριθμός (arithmós, “number”); compare rational number, from analogous Latin. The correct English form is logarithm, spelled L-O-G-A-R-I-T-H-M.

Definition

  1. 1
    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.

Etymology

From New Latin logarithmus, term coined by Scottish mathematician John Napier from Ancient Greek λόγος (lógos, “word, reckoning”) and ἀριθμός (arithmós, “number”); compare rational number, from analogous Latin.

Synonyms

This word in other languages

Definitions, pronunciation, and etymology for this entry are drawn from Wiktionary via the kaikki.org structured extract (CC BY-SA); frequency ordering uses the FrequencyWords open word-frequency list (2018 English corpus, MIT). See the methodology for how each field is sourced and updated.

Frequently Asked Questions

How do you spell "logarithm"?
"logarithm" is spelled L-O-G-A-R-I-T-H-M. The IPA pronunciation is /ˈlɒɡ.ə.ɹɪ.ð(ə)m/.
What does "logarithm" mean?
As a noun, "logarithm" means: 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.
How do you pronounce "logarithm"?
The IPA (International Phonetic Alphabet) transcription for "logarithm" is /ˈlɒɡ.ə.ɹɪ.ð(ə)m/. Click the speaker icon on the pronunciation badge above to hear it spoken aloud where audio is available.
What is the origin of the word "logarithm"?
From New Latin logarithmus, term coined by Scottish mathematician John Napier from Ancient Greek λόγος (lógos, “word, reckoning”) and ἀριθμός (arithmós, “number”); compare rational number, from analogous Latin. See the full etymology section above for more details.
Is PlainSpell free to use?
Yes, PlainSpell is a completely free word reference. You can look up definitions, pronunciations, confusable pairs, homophones, and spelling corrections across 5 languages without any sign-up or subscription.

Using “logarithm”

The practical upshot for anyone who landed here from a spell-check.

  • The one correct English spelling is L-O-G-A-R-I-T-H-M - every other letter order is a misspelling in standard orthography.
  • Say it as /ˈlɒɡ.ə.ɹɪ.ð(ə)m/ (IPA); tap the speaker on the pronunciation badge to hear it where audio exists.
  • Browse more English words and confusable pairs in the same reference. English words

Other uncommon English words near this rank

Data Source

Wiktionary (via kaikki.org), licensed under CC BY-SA & GFDL. Word ordering uses an open word-frequency list; misspelling variants are generated by edit-distance from the correct headword.

Source: Wiktionary (via kaikki.org) Structured Wiktionary extract

Source: FrequencyWords open word-frequency list FrequencyWords open word-frequency list