InterviewSolution
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InterviewSolution
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If `log_(a)x = p` and `log_(b)x^(2) =q,` then `log_(x)sqrt(ab)` is equal to (where, a,b, `x in R^(+)-{1})-` A) `1/p+1/q`, B) `1/(2p)+1/q`, C) `1/p+1/(2q)`, D) `1/(2p)+1/(2q)` |
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Answer» `log_(a)x = p rArr a^(p)= x rArr a=x^(1//p)` similarly `b^(q) = x^(2) rArr b=x^(2/q)` Now, `log_(x)sqrt(ab) = log_(x) sqrt(x^(1//)x^(2//q)) = log_(x)^(1/p+2/q.1/2) = 1/(2p) +1/q` |
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