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Popular >

2^x+2^{x+1}= 3/2

Solution

2^{x} + 2^{x + 1} = \frac{3}{2}

Solution

x = - 1

Solution steps

2^{x} + 2^{x + 1} = \frac{3}{2}

Factor

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

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

Divide both sides by

3

2^{x} = \frac{1}{2}

Apply exponent rules

x = - 1

Popular Examples

3^{2x+1}-26(3^x)-9=0

3^{2 x + 1} - 26 (3^{x}) - 9 = 0

e^{x^2+1}=5e^{-x}

e^{x^{2} + 1} = 5 e^{- x}

x^{5} = 5^{x}

4^{x + 1} = 64

2^{2 x + 1} = 4

Frequently Asked Questions (FAQ)

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