What is the answer to 1/6 =(1/2)^x ?

The answer to 1/6 =(1/2)^x is x=(ln(6))/(ln(2))

Solve for x: 1/6 =(1/2)^x

The solution is x=(ln(6))/(ln(2))

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\frac{1}{6} = (\frac{1}{2})^{x}

x = \frac{ln ( 6 )}{ln ( 2 )}

Decimal

x = 2.58496 \dots

Solution steps

\frac{1}{6} = (\frac{1}{2})^{x}

Apply exponent rules

ln (\frac{1}{6}) = x ln (\frac{1}{2})

Solve

ln (\frac{1}{6}) = x ln (\frac{1}{2}) : x = \frac{ln ( 6 )}{ln ( 2 )}

x = \frac{ln ( 6 )}{ln ( 2 )}

5^{x + 2} = 7^{x}

3^{4 x - 4} = 81

4^{x} = 4096

8^{0.4 x} = 5

x, 8 1^{4 x + 4} = 3^{x^{2} + 10 x - 11}

What is the answer to 1/6 =(1/2)^x ?
The answer to 1/6 =(1/2)^x is x=(ln(6))/(ln(2))
Solve for x: 1/6 =(1/2)^x
The solution is x=(ln(6))/(ln(2))