What is the answer to (1/4)^{2x}=32^{4x-2} ?

The answer to (1/4)^{2x}=32^{4x-2} is x= 5/12

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(1/4)^{2x}=32^{4x-2}

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

x = \frac{5}{12}

Decimal Notation

x = 0.41666 \dots

Solution steps

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

Apply exponent rules

- 4 x = 5 (4 x - 2)

Solve

- 4 x = 5 (4 x - 2) : x = \frac{5}{12}

x = \frac{5}{12}

y, 2^{y} = x

3^{2 x} = 243

e^{x + 1} = 4^{x + 4}

5 (2)^{x + 1} = 9

7 e^{9 x} = 20

What is the answer to (1/4)^{2x}=32^{4x-2} ?
The answer to (1/4)^{2x}=32^{4x-2} is x= 5/12
Solve for x: (1/4)^{2x}=32^{4x-2}
The solution is x= 5/12