What is the answer to 4^{x-x^2}= 1/2 ?

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

Solve for x: 4^{x-x^2}= 1/2

The solution is x=-(-1+sqrt(3))/2 ,x=(1+sqrt(3))/2

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

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

Decimal Notation

x = - 0.36602 \dots, x = 1.36602 \dots

Solution steps

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

Apply exponent rules

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

Solve

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

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

4^{x} + 6^{x} - 2 \cdot 9^{x} = 0

2 7^{x + 3} = 9^{2 x}

7^{2 x + 4} = 3^{5 x + 7}

4^{x^{2}} \cdot 4^{x} = 4^{0}

4^{x + 1} - 7 (2^{x}) = 2

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