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 = log_{6} 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. 

References
 McAdams, David E.. All Math Words Dictionary, logarithmic function. 2nd Classroom edition 201501084799968. 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. http://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. http://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.)