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logarithmic function

American  

noun

Mathematics.
  1. 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

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See Examples For:

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

Figure 4.74 A power function grows at a faster rate than a logarithmic function.

From Textbooks ● Mar. 30, 2016

The logarithmic function ln x grows more slowly than any power function xp, p > 0.

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 John Ambrose Fleming

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