# SOLUTION: Please help me in solving this question. - Find the value of : - {{{(log base 3 (4)+ log base 2 (9))^2 - (log base 3 (4)- log base 2 (9))^2}}}

Algebra ->  Algebra  -> Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Please help me in solving this question. - Find the value of : - {{{(log base 3 (4)+ log base 2 (9))^2 - (log base 3 (4)- log base 2 (9))^2}}}      Log On

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 Algebra: Logarithm Solvers Lessons Answers archive Quiz In Depth

 Question 137921: Please help me in solving this question. - Find the value of : - Answer by stanbon(57262)   (Show Source): You can put this solution on YOUR website!(log base 3 (4)+ log base 2 (9))^2 - (log base 3 (4)- log base 2 (9))^2 Let log3 4 = x and log2 9 = y -------------------------------- You have: (x+y)^2 -(x-y)^2 = x^2+2xy+y^2-(x^2-2xy+y^2) = 4xy --------- Substituting bac to logs you get: = 4(log3 4)(log2 9) = 4[log4/log3][log9/log2] = 4[log4/log2][log9/log3] = 4 [log2 4][log3 9] = 4 [2][2] = 16 ============== Cheers, Stan H. ================================