Phrase guide

natural logarithm

noun · 2 senses · updated from the 2026-07-25 local source snapshot

Definitions and examples are grouped by meaning. Pronunciation, history, word forms, translations, descendants, synonyms, antonyms, derived terms, and related words appear whenever the source provides them.

Sound

Pronunciation

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1

noun

Meaning 1

The logarithm in base e: either the function that given x returns y such that ey = x, or the value of y given by the function.

Definition source: English Wiktionary via Wiktextract

Topics: mathematics, sciences

Examples

  • The natural logarithm can be used to integrate 1⁄x.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

2

noun

Meaning 2

a logarithm to the base e

Definition source: Princeton WordNet 3.0

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: Napierian logarithm

Antonyms: none provided

Broader terms: logarithm, log

History

Etymology

From New Latin logarithmus nātūrālis, coined in 1668 by Nicholas Mercator in his book Logarithmo-technica.

Across languages

Translations

44 source translations are retained for this English entry.

  • Afrikaans: natuurlike logaritme — logarithm in base e
  • Arabic: لوغاريتم طبيعي — logarithm in base e
  • Armenian: բնական լոգարիթմ (bnakan logaritʻm) — logarithm in base e
  • Azerbaijani: natural loqarifm — logarithm in base e
  • Belarusian: натуральны лагарыфм (naturalʹny laharyfm) — logarithm in base e
  • Bulgarian: естествен логаритъм (estestven logaritǎm) — logarithm in base e
  • Catalan: logaritme natural — logarithm in base e
  • Chinese Mandarin: 自然對數 /自然对数 (zìrán duìshù) — logarithm in base e
  • Czech: přirozený logaritmus — logarithm in base e
  • Danish: naturlig logaritme — logarithm in base e
  • Dutch: natuurlijke logaritme — logarithm in base e
  • Estonian: naturaallogaritm — logarithm in base e
  • Finnish: luonnollinen logaritmi — logarithm in base e
  • French: logarithme naturel — logarithm in base e
  • French: logarithme népérien — logarithm in base e
  • Galician: logaritmo natural — logarithm in base e
  • Georgian: ნატურალური ლოგარითმი (naṭuraluri logaritmi) — logarithm in base e
  • German: natürlicher Logarithmus — logarithm in base e
  • Greek: φυσικός λογάριθμος (fysikós logárithmos) — logarithm in base e
  • Hebrew: לוגריתם טבעי — logarithm in base e
  • Hindi: प्राकृतिक लघुगणक (prākŕtik laghugṇak) — logarithm in base e
  • Hungarian: természetes alapú logaritmus — logarithm in base e
  • Icelandic: náttúrlegur logri — logarithm in base e
  • Italian: logaritmo naturale — logarithm in base e
  • Japanese: 自然対数 (shizen-taisū) — logarithm in base e
  • Korean: 자연로그 (jayeollogeu) — logarithm in base e
  • Latvian: naturālais logaritms — logarithm in base e
  • Lithuanian: natūrinis logaritmas — logarithm in base e
  • Macedonian: природен логари́там (priroden logarítam) — logarithm in base e
  • Norwegian: naturlig logaritme — logarithm in base e
  • Persian: لگاریتم طبیعی — logarithm in base e
  • Polish: logarytm naturalny — logarithm in base e
  • Portuguese: logaritmo natural — logarithm in base e
  • Romanian: logaritm natural — logarithm in base e
  • Russian: натура́льный логари́фм (naturálʹnyj logarífm) — logarithm in base e
  • Serbo-Croatian: prirodni logaritam — logarithm in base e
  • Slovene: naravni logaritem — logarithm in base e
  • Spanish: logaritmo natural — logarithm in base e
  • Swedish: naturliga logaritmen — logarithm in base e
  • Tagalog: likas na logpaulit — logarithm in base e
  • Tamil: இயல் மடக்கை (iyal maṭakkai) — logarithm in base e
  • Thai: ลอการิทึมธรรมชาติ — logarithm in base e
  • Ukrainian: натуральний логарифм (naturalʹnyj loharyfm) — logarithm in base e
  • Urdu: قدرتی لاگرتھم — logarithm in base e