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Ask iit jee aieee pet cbse icse state board community Discussion Response Post to: Log base change
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ruhi (603)

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Olaaa!! Perrrfect answer. 101  [150 rates]

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hi the correct ans is 1
here is my soln................
a=log_12 18 = log18/log12
by applying log properties we get................
a=(2log3 + log2)/(log3 + 2log2)
nw b= log_24 54 = log54/log24 = (3log3 + log2)/(3log2 + log3)
nw we ve 2 find ab + 5(a-b)
by solving we get..........ab= [6(log3)^2 + (log2)^2 + 5 log2 log3]/[6(log2)^2 + (log3)^3 + 5 log2 log3]
similarly we get a-b= [(log2)^2 - (log3)2]/[6(log2)^2 + (log3)^2 + 5 log2 log3]
sooo........frm dis we get.........ab+5(a-b) = 1
hope u got it :)
 this reply: 5 points  (with Olaaa!! Perrrfect answer.   in 1 votes )   [?]
 
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