The expression that is being raised to a power when using exponential notation. In 53, 5 is the base, which is the number that is repeatedly multiplied. 53 = 5 • 5 • 5. In ab, a is the base.
When a number is expressed in the form ab, b is the exponent. The exponent indicates how many times the base is used as a factor. Power and exponent mean the same thing.
A function of the form f(x) = bx, where b > 0 and b ≠ 1.
A calculation in which the exponent y in x = by is found when given x and b; the corresponding notation is logbx = y.
A function using a logarithm, in the of the form 
. A calculation in which the exponent y in x = by is found when given x and b; the corresponding notation is logbx= y.