If x^2 + y^2 = 25xy, then prove that 2 log(x+y)=3log3 + logx + logy.
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use those formulas
in LHS, mlog(n) = log (n^m)
in rhs, logx +logy= log (xy)
if you are still having problems, feel free to ask.. :)
lhs
2log(x+y)= log((x+y)^2) = log( x^2+y^2+2xy)= log(25xy+2xy)=log(27xy)= log27 + logxy= 3log3 +logxy
hence, proved
in LHS, mlog(n) = log (n^m)
in rhs, logx +logy= log (xy)
if you are still having problems, feel free to ask.. :)
lhs
2log(x+y)= log((x+y)^2) = log( x^2+y^2+2xy)= log(25xy+2xy)=log(27xy)= log27 + logxy= 3log3 +logxy
hence, proved
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