log-log: meaning, definition, pronunciation and examples
LowAcademic, Technical, Scientific
Quick answer
What does “log-log” mean?
Relating to a graph or scale in which both axes are marked with logarithmic units, or the mathematical representation of a relationship using logarithms of both variables.
Audio
Pronunciation
Definition
Meaning and Definition
Relating to a graph or scale in which both axes are marked with logarithmic units, or the mathematical representation of a relationship using logarithms of both variables.
Pertaining to any system, representation, or analysis where two logarithmic scales are used simultaneously, often to visualize power-law relationships or compress wide-ranging data into a manageable linear format.
Dialectal Variation
British vs American Usage
Differences
No significant differences in meaning or usage. Spelling remains hyphenated in both varieties.
Connotations
Identical technical connotations in both varieties.
Frequency
Equally low frequency in specialized academic/technical writing in both regions.
Grammar
How to Use “log-log” in a Sentence
[Adjective] + [Noun] (e.g., log-log plot)[Preposition] + log-log + [Noun] (e.g., on a log-log scale)Vocabulary
Collocations
Examples
Examples of “log-log” in a Sentence
adjective
British English
- The researcher presented the data on a sheet of log-log paper.
- A log-log plot revealed the underlying power-law relationship.
American English
- Check the slope on the log-log graph.
- We need to create a log-log chart for this dataset.
Usage
Meaning in Context
Business
Rare, except in highly technical financial modeling or econometrics discussing power-law distributions (e.g., Pareto distributions).
Academic
Common in mathematics, physics, engineering, and economics for visualizing and analyzing data spanning several orders of magnitude.
Everyday
Virtually never used.
Technical
Core term in data visualization, scientific graphing, and mathematical modeling to linearize exponential relationships.
Vocabulary
Synonyms of “log-log”
Strong
Neutral
Weak
Vocabulary
Antonyms of “log-log”
Watch out
Common Mistakes When Using “log-log”
- Writing as one word 'loglog' or two separate words 'log log' (the hyphenated form is standard).
- Confusing with 'semi-log' (which has only one logarithmic axis).
- Using it as a standalone noun (e.g., 'Draw a log-log' is incomplete; it must modify a noun like 'plot').
FAQ
Frequently Asked Questions
It functions almost exclusively as a compound adjective (e.g., log-log plot). It is not used as a standalone noun.
A 'semi-log' plot uses a logarithmic scale on only one axis (usually the y-axis), while a 'log-log' plot uses logarithmic scales on both axes.
No, the standard and universally accepted spelling in technical literature is with a hyphen: 'log-log'.
It is prevalent in physics, engineering, economics, biology (for allometry), and mathematics whenever data exhibiting power-law behavior is analyzed.
Relating to a graph or scale in which both axes are marked with logarithmic units, or the mathematical representation of a relationship using logarithms of both variables.
Log-log is usually academic, technical, scientific in register.
Log-log: in British English it is pronounced /ˈlɒɡ ˌlɒɡ/, and in American English it is pronounced /ˈlɔːɡ ˌlɔːɡ/ or /ˈlɑːɡ ˌlɑːɡ/. Tap the audio buttons above to hear it.
Phrases
Idioms & Phrases
- “None”
Learning
Memory Aids
Mnemonic
Remember: 'LOG' twice, because both the X and Y axes use a LOGarithmic scale.
Conceptual Metaphor
COMPRESSION IS LINEARIZATION (A log-log scale compresses vast ranges of data into a straight line for easier interpretation).
Practice
Quiz
What is the primary purpose of a log-log plot?