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

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5^{x} = (1/5^{2})^{4x-1}

5^{x} = (5^{-2})^{4x-1}

5^{x} = 5^{-8x + 2}

x = -8x + 2

9x = 2

x = 2/9

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