Exponential Equations Calculator

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Exponential equation is the equation which consists of numbers and variables raised to a value called an

exponent or power. Laws of exponents are used to solve the exponential equations. Exponential equations

calculator is the instant online tool which is used to solve these types of equations.

Example 1: Solve the given exponential equation: 2^{x + 3}= 32

For the above exponent equation, ‘2’ is the base and ‘x + 3’ is the exponent.

Since ‘x’ is an unknown variable, we have to solve for its value.

Here ‘32’ can be simplified and written with its base as ‘2’.

32 = 2 * 2 * 2 * 2 * 2 > 32 = 2⁵

2⁵ = 32 > 2^{x + 3} = 2⁵

Since the bases are same, powers can be equated!

x+ 3= 5 > x= 5– 3

x = 2

Example 2: Solve the given exponential equation: 3^{x + 7}= 9^{x – 4}

For the above exponent equation, since ‘x’ is an unknown variable, we have to solve for its value.

Here ‘9’ can be simplified and written with its base as ‘3’.

9 = 3 * 3 > 9 = 3²

3^{x + 7}= 9^{x – 4}> 3^x+7 = (3²)^{(x – 4)}

Since the bases are same, the powers can be equated!

x + 7 = 2x – 8 > x = 15

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Exponential Equations Calculator

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