Base (Algebra)

Pronunciation: /beɪs/ ?

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. (Accessed: 2010-01-04).
  2. Fischer, George Egbert, Ph.D. and Schwatt, Isaac J., Ph.D.. Rudiments of Algebra, pg 35. Fischer and Schwatt, 1901. (Accessed: 2010-01-08).
  3. Jones, Burton. Elementary Concepts of Mathematics, pp 42-51. MacMillan and Company, 1947. (Accessed: 2010-01-12).

Cite this article as:

Base (Algebra). 2010-01-08. All Math Words Encyclopedia. Life is a Story Problem LLC.


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Revision History

2010-01-10: Added "References" (McAdams, David.)
2008-11-20: Added qualifier 'Algebra' to the title, expanded 'More Information' (McAdams, David.)
2007-07-12: Initial version (McAdams, David.)

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