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Popular >

4^x-4^{x-1}=48

Solution

4^{x} - 4^{x - 1} = 48

Solution

x = 3

Solution steps

4^{x} - 4^{x - 1} = 48

Factor

4^{x} - 4^{x - 1} : 3 \cdot 4^{x - 1}

3 \cdot 4^{x - 1} = 48

Divide both sides by

3

4^{x - 1} = 16

Apply exponent rules

x - 1 = 2

Solve

x - 1 = 2 : x = 3

x = 3

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Frequently Asked Questions (FAQ)

What is the answer to 4^x-4^{x-1}=48 ?
The answer to 4^x-4^{x-1}=48 is x=3
Solve for x: 4^x-4^{x-1}=48
The solution is x=3