# 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

• 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.

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.

### 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.)