(1) 
In algebra, a base is a number or variable that is raised to a power in exponents and logarithms.^{[1]} In the exponential expression b^{x}, b is the base and x is the exponent. In the logarithmic expression log_{b}x, 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.

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