The Basics of Exponential Equation Formulas
Exponential equations are a unique category of mathematical equations where both sides can be represented using the same base. This is achieved by utilizing properties of exponents. These equations are frequently used in various fields such as calculating compound interest, tracking population growth, and determining the rate of radioactive decay.
The general form of an exponential equation is as follows:
\[\large y=ab^{x}\]
In this equation,
x and y are variables,
while a and b are constants.
Example for Better Understanding
Example 1: Determine the value of x in the equation: 3 2x – 7 = 81 x
Solution:
Given,
3
2x – 7
= 81
x
⇒ x = 7/2 = 3.5