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