English Reference

Word

logarithmic

Phoneticslog·a·rith·mic, stress on the third syllable

US/ˌɫɑɡɝˈɪðmɪk/

UK/lˌɒɡəɹˈɪθmɪk/

Definition

adj. describing a way of measuring things where the numbers grow very quickly. Instead of adding, each step on the scale multiplies the previous number.

adj. relating to or expressed in terms of logarithms, where a value represents the power to which a fixed base must be raised. Often describes scales used to measure phenomena with a vast range of intensities.

Examples

“The Richter scale for earthquakes is logarithmic.”

“Because the sound intensity varies so much, engineers use a logarithmic scale called decibels to measure it.”

“In a logarithmic progression, equal distances on the axis represent equal ratios of change rather than equal increments of value, allowing for the visualization of exponential growth patterns.”

Examples

simple

“The Richter scale for earthquakes is logarithmic.”

contextual

“Because the sound intensity varies so much, engineers use a logarithmic scale called decibels to measure it.”

complex

“In a logarithmic progression, equal distances on the axis represent equal ratios of change rather than equal increments of value, allowing for the visualization of exponential growth patterns.”

Collocations

Common phrases and expressions where native English speakers use the word “logarithmic” in context.

Verb

01. apply logarithmic

“We need to apply logarithmic transformations to normalize the data set.”

verb + adj

02. use logarithmic

“Scientists use logarithmic scales to measure the intensity of earthquakes.”

verb + adj

Adjective

03. purely logarithmic

“The relationship between the two variables is purely logarithmic.”

adv + adj

04. strictly logarithmic

“The sensor output follows a strictly logarithmic progression.”

adv + adj

Noun

05. logarithmic function

“Students must learn how to differentiate a logarithmic function.”

adj + noun

06. logarithmic growth

“The algorithm shows logarithmic growth in processing time as data increases.”

adj + noun

07. logarithmic scale

“The Richter scale is a well-known example of a logarithmic scale.”

adj + noun

08. logarithmic spiral

“The shell of a nautilus often follows the shape of a logarithmic spiral.”

adj + noun

09. increase at a logarithmic rate

“The complexity of the task increases at a logarithmic rate.”

10. plot on a logarithmic scale

“The data is easier to visualize when you plot it on a logarithmic scale.”

Usage

Typically used in technical, mathematical, or scientific contexts; often precedes nouns like 'scale', 'growth', or 'function'.

Real-World Examples

“An earthquake's ​magnitude is measured by a logarithmic scale that gets bigger with every unit, so that a quake of magnitude 7 is more than 30 times stronger than ​one of magnitude 6.”
Reuters 12 Aug 2026
“Earthquake magnitudes are measured on a logarithmic scale, which means the amount of energy released by a quake increases by more than 30 times for each whole number.”
Reuters 5 Apr 2024
“The scale is logarithmic, meaning a whole number increase in magnitude represents a 10-fold jump in the size of the earthquake.”
Reuters 15 Sept 2023
“According to the current logarithmic earthquake scale, an increase of one whole number, such as 70 to8., signifies a 32-fold rise in energy release.”
Wired 13 Aug 2015

Etymology

From logarithm + -ic.

Etymology adapted from Wiktionary, available under CC BY-SA 4.0.

Related words

Domain

Mathematics

This entry

Exam level
CambridgeCambridgeCambridge English QualificationsThe exam suite from Cambridge University Press & Assessment, from A1 Movers up to C2 Proficiency. The benchmark names double as CEFR labels.C1 AdvancedIELTSIELTSInternational English Language Testing SystemThe 0–9 band test co-owned by the British Council, IDP, and Cambridge. Used for university entry, work, and migration.7.0–8.0TOEFL iBTTOEFL iBTTest of English as a Foreign Language, Internet-Based TestETS's academic English test, the standard route for US university admissions. Scored 0–120, with a 1–6 scale since 2026.1–6 scale: 5.0–5.595–113TOEICTOEICTest of English for International CommunicationETS's workplace English test, big in Japan and Korea. Listening & Reading scores 10–990 and tops out at C1.945–990
Frequency
Occasional
Level
C1 · Advanced
Updated

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