General objective of this article is to Define and Discuss on Logarithmic Functions. Here explain Logarithmic Functions in calculus point of view and mathematics terms. This article use mathematical examples to explain Logarithmic Functions. While an exponential function replies the question “A number raised into a power equals what? ” a logarithmic function or log function replies the question “To what power should raise a number to have another number?” Basically, the output for a logarithmic function is within actuality an exponent.