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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 = 252x

Solution

Given:
53x – 8 = 252x

25 can be expressed as a power of 5:
53x – 8 = 52(2x) = 54x
3x-8 = 4x
-8 = x