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$The solution set of the equation x^{\log_{x} (1 - x)^{2}} = 9, is$

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{−2,4}

{4}

{0,−2,-4}

None of these

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Correct option is B

xlogx⁡(1−x)2=9⇒ (1−x)2=9⇒ 1−x=±3⇒ x=−2,4 But x=−2 is not possible ⇒ x=4

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The solution set of the equation xlogx⁡(1−x)2=9, is

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$The solution set of the equation x^{\log_{x} (1 - x)^{2}} = 9, is$