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

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

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

(\frac{1}{25})^{x - 1} = 55

x = \frac{1}{4}

Decimal Notation

x = 0.25

Solution steps

(\frac{1}{25})^{x - 1} = 55

Apply exponent rules

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

Solve

- 2 (x - 1) = \frac{3}{2} : x = \frac{1}{4}

x = \frac{1}{4}

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

e^{2 x + 3} = 27

2^{x - 2} = 8

59 e^{x} = 55

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