What is the answer to (1/2)^{2x}=2^{3-x} ?

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

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

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

x = - 3

Solution steps

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

Apply exponent rules

- 2 x = 3 - x

Solve

- 2 x = 3 - x : x = - 3

x = - 3

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

3^{2 x} - 4 \times 3^{x} + 3 = 0

10 \cdot 3^{x + 3} = 60

3^{x} = 64

2^{x - 3} = 8

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