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Popular >

2^{x+3}-2^x=56

Solution

2^{x + 3} - 2^{x} = 56

Solution

x = 3

Solution steps

2^{x + 3} - 2^{x} = 56

Factor

2^{x + 3} - 2^{x} : 7 \cdot 2^{x}

7 \cdot 2^{x} = 56

Divide both sides by

7

2^{x} = 8

Apply exponent rules

x = 3

Popular Examples

a^{x} = 2

4 e^{3 x - 2} = 8

3^{x - 3} = 27

2^{y + 3} + 2^{y} = 18

9^{x} - 7 \cdot 3^{x} = 18

Frequently Asked Questions (FAQ)

What is the answer to 2^{x+3}-2^x=56 ?
The answer to 2^{x+3}-2^x=56 is x=3
Solve for x: 2^{x+3}-2^x=56
The solution is x=3