What is the answer to 25^{x-1}= 1/125 ?

The answer to 25^{x-1}= 1/125 is x=-1/2

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25^{x-1}= 1/125

2 5^{x - 1} = \frac{1}{125}

x = - \frac{1}{2}

Decimal Notation

x = - 0.5

Solution steps

2 5^{x - 1} = \frac{1}{125}

Apply exponent rules

2 (x - 1) = - 3

Solve

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

x = - \frac{1}{2}

3 = 8 (2)^{5 x} - 15

32 = 1 6^{x + 4}

81 = 3 3^{x}

4^{- x} = 256

8^{2 x} = 4^{x - 1}