What is the answer to 36^{1/2-4x}=sqrt(6) ?

The answer to 36^{1/2-4x}=sqrt(6) is x= 1/16

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36^{1/2-4x}=sqrt(6)

3 6^{\frac{1}{2} - 4 x} = 6

x = \frac{1}{16}

Decimal Notation

x = 0.0625

Solution steps

3 6^{\frac{1}{2} - 4 x} = 6

Apply exponent rules

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

Solve

2 (\frac{1}{2} - 4 x) = \frac{1}{2} : x = \frac{1}{16}

x = \frac{1}{16}

2^{5} + 2^{x - 1} = 2^{x}

3^{2 - x} + 3^{3 - x} = 12

(- 5)^{x} = - 125

2^{x} = 400

0. 5^{x} = 1

What is the answer to 36^{1/2-4x}=sqrt(6) ?
The answer to 36^{1/2-4x}=sqrt(6) is x= 1/16
Solve for x: 36^{1/2-4x}=sqrt(6)
The solution is x= 1/16