no of integral values of x that satisfies x^x√x =x√x^x
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Answer:
<x−2
∴−x
2
+10x−16≥0
x
2
−10x+16≤0
(x−2)(x−8)≤0
x∈[2,8]…(1)
−x
2
+10x−16
<x−2
squaringonbothsides
−x
2
+10x−16<x
2
−4x+4
2x
2
−14x+20>0
x
2
−7x+10>0
(x−5)(x−2)>0
x∈(−∞,2)U(5,∞)…(2)
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