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Popular >

2^x+2^{x-1}=12

Solution

2^{x} + 2^{x - 1} = 12

Solution

x = 3

Solution steps

2^{x} + 2^{x - 1} = 12

Factor

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

3 \cdot 2^{x - 1} = 12

Divide both sides by

3

2^{x - 1} = 4

Apply exponent rules

x - 1 = 2

Solve

x - 1 = 2 : x = 3

x = 3

Popular Examples

3^{2x-2}=sqrt(3)

3^{2 x - 2} = 3

solvefor x,e^x+e^{-x}=2y solve for

x, e^{x} + e^{- x} = 2 y

(3^1)/x =(27^x)^2

\frac{3 ^{1}}{x} = (2 7^{x})^{2}

3^{x} \cdot 2^{x} = 216

3^{1-x}=27^{-1}

3^{1 - x} = 2 7^{- 1}

Frequently Asked Questions (FAQ)

What is the answer to 2^x+2^{x-1}=12 ?
The answer to 2^x+2^{x-1}=12 is x=3
Solve for x: 2^x+2^{x-1}=12
The solution is x=3