Logarithms with integer bases

Let  be an integer. The function , which is read the "logarithm (base ) of " or the "base  logarithm of " is the inverse of the function . Thus,  exactly when . The domain of  is the set of positive numbers. The range of  is all numbers.

A logarithm is an exponent:  is the power to which you raise  to obtain the value . Mathematically, .