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

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

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

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

x = 1

Solution steps

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

Apply exponent rules

x - 1 = - 2 (x - 1)

Solve

x - 1 = - 2 (x - 1) : x = 1

x = 1

2^{x + 1} - 2^{x - 1} = 15

e^{2 l n (3 x)} = 1

- 2 x e^{- 2 x} + e^{- 2 x} = 0

6^{x - 3} = 21 6^{x - 3}

5.5 = 48.6 \cdot 0.96 7^{x}

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