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Popular >

2^{x+2}-2^x=96

Solution

2^{x + 2} - 2^{x} = 96

Solution

x = 5

Solution steps

2^{x + 2} - 2^{x} = 96

Factor

2^{x + 2} - 2^{x} : 3 \cdot 2^{x}

3 \cdot 2^{x} = 96

Divide both sides by

3

2^{x} = 32

Apply exponent rules

x = 5

Popular Examples

5^{x - 3} = 1

5 e^{9 x - 7} = 17

6 4^{x} = \frac{1}{4}

2^{3 x - 4} = 14

4^{2 x + 1} = 64

Frequently Asked Questions (FAQ)

What is the answer to 2^{x+2}-2^x=96 ?
The answer to 2^{x+2}-2^x=96 is x=5
Solve for x: 2^{x+2}-2^x=96
The solution is x=5