Logarithmic Function

Pronunciation: /ˌlɔg.əˈrɪð.mɪk ˈfʌŋk.ʃən/ Explain

A logarithmic function is any function that contains at least one logarithm.

Examples of logarithmic fuctions

  • y = log x. In this form the base is usually assumed to be 10.
  • y = ln x. Ln is the abbreviation for natural logarithm, or a logarithm with base e.
  • y = log6 3x - 1

Click on the blue points on the sliders and drag them to change the figure

What happens when the base (b) is set to 1? Why?
Manipulative 1 - Graph of a Logarithmic Function Created with GeoGebra.


  1. McAdams, David E.. All Math Words Dictionary, logarithmic function. 2nd Classroom edition 20150108-4799968. pg 110. Life is a Story Problem LLC. January 8, 2015. Buy the book

More Information

  • McAdams, David E.. Line. allmathwords.org. All Math Words Encyclopedia. Life is a Story Problem LLC. 8/31/2018. https://www.allmathwords.org/en/l/logarithm.

Cite this article as:

McAdams, David E. Logarithmic Function. 4/24/2019. All Math Words Encyclopedia. Life is a Story Problem LLC. https://www.allmathwords.org/en/l/logarithmicfunction.html.

Image Credits

Revision History

4/24/2019: Changed equations and expressions to new format. (McAdams, David E.)
12/21/2018: Reviewed and corrected IPA pronunication. (McAdams, David E.)
8/31/2018: Removed broken links, updated license, implemented new markup, implemented new Geogebra protocol. (McAdams, David E.)
8/30/2018: Initial version. (McAdams, David E.)

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