# Base (Algebra)

Pronunciation: /beɪs/ Explain
1. In algebra, a base is a number or variable that is raised to a power in exponents and logarithms.[2] In the exponential expression bx, b is the base and x is the exponent.

In the logarithmic expression logbx, the base is b.

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

### References

1. McAdams, David E.. All Math Words Dictionary, base. 2nd Classroom edition 20150108-4799968. pg 24. Life is a Story Problem LLC. January 8, 2015. Buy the book
2. base. merriam-webster.com. Encyclopedia Britannica. Merriam-Webster. Last Accessed 6/19/2018. http://www.merriam-webster.com/dictionary/base. Buy the book
3. Fischer, George Egbert, Ph.D. and Schwatt, Isaac J., Ph.D.. Rudiments of Algebra. pg 35. www.archive.org. Fischer and Schwatt. 1901. Last Accessed 6/19/2018. http://www.archive.org/stream/rudimentsalgebr00schwgoog#page/n47/mode/1up/search/base. Buy the book
4. Jones, Burton. Elementary Concepts of Mathematics. pp 42-51. www.archive.org. MacMillan and Company. 1947. Last Accessed 6/19/2018. http://www.archive.org/stream/elementaryconcep029487mbp#page/n63/mode/1up/search/base. Buy the book

McAdams, David E. Base (Algebra). 4/12/2019. All Math Words Encyclopedia. Life is a Story Problem LLC. https://www.allmathwords.org/en/b/base.html.

### Revision History

4/12/2019: Changed equations and expressions to new format. (McAdams, David E.)
12/21/2018: Reviewed and corrected IPA pronunication. (McAdams, David E.)