What is the answer to 5^x=(1/25)^{4x-1} ?

The answer to 5^x=(1/25)^{4x-1} is x= 2/9

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5^x=(1/25)^{4x-1}

5^{x} = (\frac{1}{25})^{4 x - 1}

x = \frac{2}{9}

Decimal Notation

x = 0.22222 \dots

Solution steps

5^{x} = (\frac{1}{25})^{4 x - 1}

Apply exponent rules

x = - 2 (4 x - 1)

Solve

x = - 2 (4 x - 1) : x = \frac{2}{9}

x = \frac{2}{9}

9^{x - 9} = 2

4^{1 - \frac{5 x}{2}} = 32

3^{2 x - 3} = 21

6^{9 x - 4} = 44

25 = 11 (1 + 0.14)^{x}

What is the answer to 5^x=(1/25)^{4x-1} ?
The answer to 5^x=(1/25)^{4x-1} is x= 2/9
Solve for x: 5^x=(1/25)^{4x-1}
The solution is x= 2/9