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Let `a,bepsilonR^+` for which `60^a=3` and `60^b=5` then `12^((1-a-b)/(2(1-b)))` is equal to |
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Answer» Correct Answer - `2` `60^(a) = 3 rArr a = log_(60)3` `60^(b) = 5 rArr b = b = log_(60)5` `(1 - a - b)/(2(1 - b)) = (1 - log_(60) 3 - log_(60) 5)/(2(1 - log_(60)5)) = log_(60)((60)/(3 xx 5))/(2log_(60)((60)/(5)))` `(log_(60)(4))/(2log_(60)(12)) = (log_(60)2)/(log_(60)12) = log_(12)2` `:. (12)^(log_(12)2 = 2` |
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