What is the answer to 4^{3x-1}=(1/2)^{1-2x} ?

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

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4^{3x-1}=(1/2)^{1-2x}

4^{3 x - 1} = (\frac{1}{2})^{1 - 2 x}

x = \frac{1}{4}

Decimal Notation

x = 0.25

Solution steps

4^{3 x - 1} = (\frac{1}{2})^{1 - 2 x}

Apply exponent rules

2 (3 x - 1) = - (1 - 2 x)

Solve

2 (3 x - 1) = - (1 - 2 x) : x = \frac{1}{4}

x = \frac{1}{4}

2^{x} + 1 + 2^{x} - 1 = 20

1 0^{x} = 0.000001

3^{x^{2} - 8} = \frac{1}{81}

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

2 x e^{x} + e^{x} (x^{2} - 3) = 0

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