What is the answer to 25^x= 1/(sqrt(5)) ?

The answer to 25^x= 1/(sqrt(5)) is x=-1/4

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

2 5^{x} = \frac{1}{5}

x = - \frac{1}{4}

Decimal

x = - 0.25

Solution steps

2 5^{x} = \frac{1}{5}

Apply exponent rules

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

Solve

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

x = - \frac{1}{4}

1 6^{x} - 17 \times 4^{x} + 16 = 0

4 e^{x} = 91

2^{2 x} - 6 \times 2^{x} + 8 = 0

4^{x} \cdot 5^{4 x + 3} = 1 0^{2 x + 3}

2 (1 0^{3 x}) - 3 = 15

What is the answer to 25^x= 1/(sqrt(5)) ?
The answer to 25^x= 1/(sqrt(5)) is x=-1/4
Solve for x: 25^x= 1/(sqrt(5))
The solution is x=-1/4