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

The answer to 5^{x-1}=(1/25)^x is x= 1/3

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

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

x = \frac{1}{3}

Decimal Notation

x = 0.33333 \dots

Solution steps

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

Apply exponent rules

x - 1 = - 2 x

Solve

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

x = \frac{1}{3}

9^{x} = 2 7^{x + 1}

2^{x^{2} - 3} = 4^{x}

2 x + 1 = 2^{x}

d, c = b a^{d}

x, 5 (1.2)^{x - 1} = 4

What is the answer to 5^{x-1}=(1/25)^x ?
The answer to 5^{x-1}=(1/25)^x is x= 1/3
Solve for x: 5^{x-1}=(1/25)^x
The solution is x= 1/3