What is the answer to 9^x= 1/(sqrt(3)) ?

The answer to 9^x= 1/(sqrt(3)) is x=-1/4

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

9^{x} = \frac{1}{3}

x = - \frac{1}{4}

Decimal Notation

x = - 0.25

Solution steps

9^{x} = \frac{1}{3}

Apply exponent rules

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

Solve

2 x = - \frac{1}{2} : x = - \frac{1}{4}

x = - \frac{1}{4}

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

\frac{1}{e ^{x}} = 27

4^{x} - 5 \times 2^{x} + 4 = 0

2^{4 x + 1} = 3^{x}

What is the answer to 9^x= 1/(sqrt(3)) ?
The answer to 9^x= 1/(sqrt(3)) is x=-1/4
Solve for x: 9^x= 1/(sqrt(3))
The solution is x=-1/4