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Arithmetic Ability
Logarithms

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Q.

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

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Correct choice: C

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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