जॉइन Examsbookउत्तर : 3. "p > q"
For x∈N, x>1, and p=logxx+1, q=logx+1x+2 then which one of the following is correct?5
प्र: For x∈N, x>1, and p=logxx+1, q=logx+1x+2 then which one of the following is correct?
- 1p < qfalse
- 2p = qfalse
- 3p > qtrue
- 4can't be determinedfalse
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उत्तर : 3. "p > q"
व्याख्या :
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