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Popular >

2^{x-1}+2^x=48

Solution

2^{x - 1} + 2^{x} = 48

Solution

x = 5

Solution steps

2^{x - 1} + 2^{x} = 48

Factor

2^{x - 1} + 2^{x} : 3 \cdot 2^{x - 1}

3 \cdot 2^{x - 1} = 48

Divide both sides by

3

2^{x - 1} = 16

Apply exponent rules

x - 1 = 4

Solve

x - 1 = 4 : x = 5

x = 5

Popular Examples

(sqrt(7))^{6x}=49^{x-6}

(7)^{6 x} = 4 9^{x - 6}

4^{x - 1} = 2^{x} + 48

15^{4a}=81^{a+2}

1 5^{4 a} = 8 1^{a + 2}

9^{x - 1} = 27

3^{x + 2} = 10

Frequently Asked Questions (FAQ)

What is the answer to 2^{x-1}+2^x=48 ?
The answer to 2^{x-1}+2^x=48 is x=5
Solve for x: 2^{x-1}+2^x=48
The solution is x=5