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Popular >

2^x-2^{x-2}=6

Solution

2^{x} - 2^{x - 2} = 6

Solution

x = 3

Solution steps

2^{x} - 2^{x - 2} = 6

Factor

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

3 \cdot 2^{x - 2} = 6

Divide both sides by

3

2^{x - 2} = 2

Apply exponent rules

x - 2 = 1

Solve

x - 2 = 1 : x = 3

x = 3

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Frequently Asked Questions (FAQ)

What is the answer to 2^x-2^{x-2}=6 ?
The answer to 2^x-2^{x-2}=6 is x=3
Solve for x: 2^x-2^{x-2}=6
The solution is x=3