Logarithm - Meaning, Definition & English Examples
A logarithm is the power to which a base number must be raised to produce a given value. It simplifies multiplication and division into addition and subtraction, often used in mathematics and science.
Definition:
A mathematical function representing the exponent to which a fixed base must be raised to produce a given number.
Synonyms:
exponent, power, index
Part of Speech:
noun
Antonyms:
linear function, addition
Common Collocations:
natural logarithm, logarithmic scale, logarithmic function, common logarithm
Derivatives:
logarithmic, logarithmically
Usage Tips:
Use "logarithm" when discussing exponents or scaling in mathematics or science contexts.
Common Phrases:
logarithmic scale, slide rule logarithm, laws of logarithms
Etymology:
From Greek "logos" (ratio) and "arithmos" (number), coined by John Napier in 1614.
Examples:
- 1. The logarithm of 100 with base 10 is 2.
- 2. She used logarithms to simplify the complex calculation.
- 3. Logarithms are essential in solving exponential equations.
- 4. The Richter scale measures earthquakes using a logarithmic scale.