What is the answer to 8^{x^2-2x}= 1/2 ?

The answer to 8^{x^2-2x}= 1/2 is x=(3+sqrt(6))/3 ,x=(3-sqrt(6))/3

Solve for x: 8^{x^2-2x}= 1/2

The solution is x=(3+sqrt(6))/3 ,x=(3-sqrt(6))/3

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

x = \frac{3 + 6}{3}, x = \frac{3 - 6}{3}

Decimal Notation

x = 1.81649 \dots, x = 0.18350 \dots

Solution steps

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

Apply exponent rules

3 (x^{2} - 2 x) = - 1

Solve

3 (x^{2} - 2 x) = - 1 : x = \frac{3 + 6}{3}, x = \frac{3 - 6}{3}

x = \frac{3 + 6}{3}, x = \frac{3 - 6}{3}

e - e^{- 2 x} = 1

e^{x} = 2 e^{- x}

x, x y + e^{x y} = 0

9^{x} = \frac{1}{3}

e^{- x^{2}} = e^{- 3 x - 4}

What is the answer to 8^{x^2-2x}= 1/2 ?
The answer to 8^{x^2-2x}= 1/2 is x=(3+sqrt(6))/3 ,x=(3-sqrt(6))/3
Solve for x: 8^{x^2-2x}= 1/2
The solution is x=(3+sqrt(6))/3 ,x=(3-sqrt(6))/3