logarithm Definition
- 1the exponent that indicates the power to which a base number must be raised to produce a given number
- 2a quantity representing the power to which a fixed number (the base) must be raised to produce a given value
Using logarithm: Examples
Take a moment to familiarize yourself with how "logarithm" can be used in various situations through the following examples!
Example
The logarithm of 1000 to base 10 is 3.
Example
The logarithm of 8 to base 2 is 3.
Example
The logarithm of 1 to any base is 0.
logarithm Synonyms and Antonyms
Phrases with logarithm
Example
The common logarithm of 1000 is 3.
Example
The natural logarithm of 10 is approximately 2.30259.
binary logarithm
a logarithm to the base 2
Example
The binary logarithm of 8 is 3.
Origins of logarithm
from Greek 'logos' meaning 'word, reason' and 'arithmos' meaning 'number'
Summary: logarithm in Brief
A 'logarithm' [ˈlɒɡərɪð(ə)m] is an exponent that indicates the power to which a base number must be raised to produce a given number. It is also a quantity representing the power to which a fixed number (the base) must be raised to produce a given value. Examples include 'The logarithm of 1000 to base 10 is 3.' and 'The logarithm of 8 to base 2 is 3.' Different types of logarithms include common logarithms, natural logarithms, and binary logarithms.
