What is the answer to 125^x= 1/(sqrt(5)) ?

The answer to 125^x= 1/(sqrt(5)) is x=-1/6

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125^x= 1/(sqrt(5))

12 5^{x} = \frac{1}{5}

x = - \frac{1}{6}

Decimal Notation

x = - 0.16666 \dots

Solution steps

12 5^{x} = \frac{1}{5}

Apply exponent rules

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

Solve

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

x = - \frac{1}{6}

7 (3^{x}) = 2 (4^{(5 x - 4)})

e^{x} - 6 x = 0

3 e^{x} - 4 x e^{x} = 0

3 \cdot 1 0^{- 9} = 1 0^{- x}

- e^{x + 4} = - 58

What is the answer to 125^x= 1/(sqrt(5)) ?
The answer to 125^x= 1/(sqrt(5)) is x=-1/6
Solve for x: 125^x= 1/(sqrt(5))
The solution is x=-1/6