What does logarithm mean?
A logarithm is a mathematical concept that represents the exponent to which a base number is raised to produce a given value. Logarithms are used to simplify complex calculations and are extensively used in mathematics, physics, and engineering. The concept of logarithms is closely related to exponents and powers, and is often used in conjunction with these terms. Understanding logarithms is essential for working with complex mathematical models and equations. Logarithms have numerous practical applications, including calculating probabilities, analyzing data, and modeling real-world phenomena.
nounA logarithm is the exponent to which a base number is raised to produce a given value. It is a mathematical concept used to simplify complex calculations.
- A mathematical concept used to simplify complex calculations.
- A quantity representing the power to which a base number must be raised to produce a given value.
"The logarithm of 100 to the base 10 is 2, because 10^2 equals 100."
"The logarithm of 100 to the base 10 is 2, because 10^2 equals 100."
"Logarithms are used extensively in mathematics, physics, and engineering to simplify complex calculations."
Countable, used to refer to multiple instances of the mathematical concept.
"The book covers various properties and applications of logarithms."
Reviewed by Deb Chak, Editor. AI-assisted content curated by RJS Tech Solutions LLP.
Etymology of logarithm
The term 'logarithm' originates from the Greek words 'logos', meaning 'word' or 'reason', and 'arithmos', meaning 'number'. The concept of logarithms was first introduced by Scottish mathematician John Napier in the 17th century. The term 'logarithm' has since been adopted into various languages, including Latin as 'logarithmus'.
Usage notes
Formal and technical term, commonly used in mathematics, physics, and engineering. Often used in conjunction with terms like 'base', 'exponent', and 'power'.