Base (Algebra)

Pronunciation: /beɪs/ Explain

In algebra, a base is a number or variable that is raised to a power in exponents and logarithms.[1] In the exponential expression bx, b is the base and x is the exponent.

In the logarithmic expression logbx, the base is b.


In base n numbering systems, the base of the system is the number that is represented by the digits 10.


  1. base. Encyclopedia Britannica. Merriam-Webster. Last Accessed 8/6/2018.
  2. Fischer, George Egbert, Ph.D. and Schwatt, Isaac J., Ph.D.. Rudiments of Algebra. pg 35. Fischer and Schwatt. 1901. Last Accessed 8/6/2018. Buy the book
  3. Jones, Burton. Elementary Concepts of Mathematics. pp 42-51. MacMillan and Company. 1947. Last Accessed 8/6/2018. Buy the book

Cite this article as:

McAdams, David E. Base (Algebra). 6/19/2018. All Math Words Encyclopedia. Life is a Story Problem LLC.

Revision History

6/22/2018: Removed broken links, updated license, implemented new markup. (McAdams, David E.)
1/10/2010: Added "References". (McAdams, David E.)
11/20/2008: Added qualifier 'Algebra' to the title, expanded 'More Information'. (McAdams, David E.)
7/12/2007: Initial version. (McAdams, David E.)

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