If p,q∈N satisfy the equation xx=(x)x then

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p+q-=5

|p−q|=4

pq=4

if logq⁡p is defined, then logp⁡q is not and vice versa

answer is A.

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Detailed Solution

xx=(x)x,p,q∈N⇒ xlog⁡x=xlog⁡x or log⁡xx−x2=0⇒ log⁡x=0 or x−x2=0⇒ x=1 or 4

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