# Exponential Equation Formula

An exponential equation in which each side can be expressed in terms of the same base can be solved using the property. It is used to express a graph in many things like radioactive decay, compound interest, population growth etc.

The exponential equation will be of the form

\[\large y=ab^{x}\]

Here,

x and y are the variables

a and b are constants.

Solved Examples

**Question 1: **Solve for 5^{ 3x – 8} = 25^{2x}

**Solution**

Given:

5^{3x – 8} = 25^{2x}

25 can be expressed as a power of 5:

5

^{3x – 8}= 5^{2(2x) }= 5^{4x}3x-8 = 4x

-8 = x

-8 = x