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1. $125 (\sqrt 5)^{2 x}$

Answer: Option B

Explanation:

125 (\sqrt{5})^{2 x} = 1 \Rightarrow (\sqrt{5})^{2 x} = \frac{1}{125} \Rightarrow {(5^{\frac{1}{2}})}^{2 x} = 5^{- 3} \Rightarrow x = - 3

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