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Q: For x∈N, x>1,  and  p=logxx+1, q=logx+1x+2 then which one of the following is correct?

  • 1
    p < q
  • 2
    p = q
  • 3
    p > q
  • 4
    can't be determined
  • Show Answer
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Answer : 3. "p > q"
Explanation :

Answer: C) p > q Explanation: kl>k+1l+1 for (k,l) > 0 and  k > l        Let     k = x+1    and   l = x       Therefore, x+1x>(x+1)+1(x)+1        (x + 1) > x       Therefore, log(x+1)log(x)>log(x+2)log(x+1)       ⇒logxx+1 >logx+1x+2

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