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

The answer to 4^{3x-2}= 1/(2sqrt(2)) is x= 5/12

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

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

x = \frac{5}{12}

Decimal Notation

x = 0.41666 \dots

Solution steps

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

Apply exponent rules

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

Solve

2 (3 x - 2) = - \frac{3}{2} : x = \frac{5}{12}

x = \frac{5}{12}

4^{x} = 2

10 e^{x - 9} = 90

3^{5 x + 2} + 9^{2 x} = 81

3^{x + 2} = 0

9^{y} = 27

What is the answer to 4^{3x-2}= 1/(2sqrt(2)) ?
The answer to 4^{3x-2}= 1/(2sqrt(2)) is x= 5/12
Solve for x: 4^{3x-2}= 1/(2sqrt(2))
The solution is x= 5/12