What is the answer to 25^{2x}=sqrt(5) ?

The answer to 25^{2x}=sqrt(5) is x= 1/8

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25^{2x}=sqrt(5)

2 5^{2 x} = 5

x = \frac{1}{8}

Solution steps

2 5^{2 x} = 5

Apply exponent rules

4 x = \frac{1}{2}

Solve

4 x = \frac{1}{2} : x = \frac{1}{8}

x = \frac{1}{8}

e^{- 4 x} = 3

5 e^{0.2 x} = 13

1 0^{x} = - 1

3^{x} + 3^{x + 2} = 30

5^{3 x - 2} = 2 5^{2 x + 1}