# Exponential and Logarithmic Functions

An exponential function is a Mathematical function in the form f (x) = ax, where “x” is a variable and “a” is a constant which is called the base of the function and it should be greater than 0. The most commonly used exponential function base is the transcendental number e, which is approximately equal to 2.71828.

For example: f(x)=x^{2}

f(2)=4

In mathematics, the logarithmic function is an inverse function to exponentiation. The logarithmic function is defined as

For x > 0 , a > 0, and a not equal 0,

y= loga x if and only if x = ay

Then the function is given by

**f(x) = loga x**

The base of the logarithm is a. This can be read it as log base a of x. The most 2 common bases used in logarithmic functions are base 10 and base e.

For example:

f(x)=logx

f(10)=1

references:byjus.com