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$Which of the following is not the solution of \frac{16^{1 / x}}{2^{x + 3}} > 1 ?$

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(−∞,−4)

0,1

(0,∞)

None of these

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detailed solution

Correct option is C

24x−x−3>20⇒ 4x−x−3>0⇒ 4−x2−3xx>0⇒ x2+3x−4x<0⇒ (x+4)(x−1)x<0⇒ x∈(−∞,−4)∪(0,1)

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Which of the following is not the solution of 161/x2x+3>1?

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$Which of the following is not the solution of \frac{16^{1 / x}}{2^{x + 3}} > 1 ?$