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.

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logarithmic function British  

noun

1. 1. the mathematical function y = log x

   2. a function that can be expressed in terms of this function

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Etymology

Origin of logarithmic function

First recorded in 1945–50

Example Sentences

The most commonly used logarithmic function is the function loge.

From Textbooks • Mar. 30, 2016

Using this change of base, we typically write a given exponential or logarithmic function in terms of the natural exponential and natural logarithmic functions.

From Textbooks • Mar. 30, 2016

The pH of a substance is defined by the logarithmic function pH = −log⎡H+ ⎤.

From Textbooks • Mar. 30, 2016

Given an exponential function or logarithmic function in base a, we can make a change of base to convert this function to any base b > 0, b ≠ 1.

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