What is the answer to 4^{2x^2+2x}=8 ?

The answer to 4^{2x^2+2x}=8 is x= 1/2 ,x=-3/2

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4^{2x^2+2x}=8

4^{2 x^{2} + 2 x} = 8

x = \frac{1}{2}, x = - \frac{3}{2}

Decimal Notation

x = 0.5, x = - 1.5

Solution steps

4^{2 x^{2} + 2 x} = 8

Apply exponent rules

2 (2 x^{2} + 2 x) = 3

Solve

2 (2 x^{2} + 2 x) = 3 : x = \frac{1}{2}, x = - \frac{3}{2}

x = \frac{1}{2}, x = - \frac{3}{2}

3^{x} \cdot 3^{2 x - 3} = 3^{5}

3^{x} = 1000

3^{4 x} = 81

e^{x^{2} + 2 x} = 2

3^{2 t - 1} = 7^{t + 2}

What is the answer to 4^{2x^2+2x}=8 ?
The answer to 4^{2x^2+2x}=8 is x= 1/2 ,x=-3/2
Solve for x: 4^{2x^2+2x}=8
The solution is x= 1/2 ,x=-3/2