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Q.

If ${(\frac{1}{5})}^{x} = {(125)}^{4}$ , then the value of $x$ is

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a

12

b

$- 12$

c

125

d

25

answer is B.

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Detailed Solution

$\begin{array}{l} {(\frac{1}{5})}^{x} = {(125)}^{4} \\ {(5^{- 1})}^{x} = {(5^{3})}^{4} \\ 5^{- x} = 5^{12} \\ - x = 12 \\ x = - 12 \end{array}$

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If (15)x=(125)4, then the value of x is