What is the answer to 27^x= 1/(sqrt(3)) ?

The answer to 27^x= 1/(sqrt(3)) is x=-1/6

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27^x= 1/(sqrt(3))

2 7^{x} = \frac{1}{3}

x = - \frac{1}{6}

Decimal Notation

x = - 0.16666 \dots

Solution steps

2 7^{x} = \frac{1}{3}

Apply exponent rules

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

Solve

3 x = - \frac{1}{2} : x = - \frac{1}{6}

x = - \frac{1}{6}

5^{3 x + 2} + 3 \times 5^{6 x + 2} - 100 = 0

(24)^{x} = 5.76

8^{x + 3} = 1 6^{x - 1}

7 e^{x} = 0

What is the answer to 27^x= 1/(sqrt(3)) ?
The answer to 27^x= 1/(sqrt(3)) is x=-1/6
Solve for x: 27^x= 1/(sqrt(3))
The solution is x=-1/6