logarithmic function

American

noun

Mathematics.

a function defined by y = log bx, especially when the base, b, is equal to e, the base of natural logarithms.

logarithmic function British

noun

1. the mathematical function y = log x
2. a function that can be expressed in terms of this function

"Collins English Dictionary — Complete & Unabridged" 2012 Digital Edition © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012

Etymology

Origin of logarithmic function

First recorded in 1945–50

Example Sentences

Examples are provided to illustrate real-world usage of words in context. Any opinions expressed do not reflect the views of Dictionary.com.

No. A horizontal asymptote would suggest a limit on the range, and the range of any logarithmic function in general form is all real numbers.

From Textbooks • Dec. 21, 2021

The base of a logarithmic function must be positive, so we eliminate .

From Textbooks • Sep. 23, 2020

We know exponential functions and logarithmic function are very interrelated.

From Textbooks • May 6, 2020

The natural exponential function is y = ex and the natural logarithmic function is y = ln x = loge x.

From Textbooks • Mar. 30, 2016

The current through this ball coherer is, therefore, a logarithmic function of the potential difference between its ends, of the form and exhibits no discontinuity.

From Hertzian Wave Wireless Telegraphy by Fleming, John Ambrose

Definitions and idiom definitions from Dictionary.com Unabridged, based on the Random House Unabridged Dictionary, © Random House, Inc. 2023