## Logarithm Definition

In mathematics, logarithm is the inverse operation of exponentiation. That is, we call **logarithm** of a number the exponent to which another value (the base) must be raised to produce this number. For example, the logarithm of 100 in base 10 is 2, because 10^{2} = 100. Therefore, we have the following definition:

The development of logarithms arose from the need to simplify some mathematical calculations.

## Consequences of the definition

By the definition of logarithm, we can observe some consequences, which are as follows:

Next: Operative Properties