4x^2+9y^2=16xy then show that
2log(2x- 3y) = 2log2+log x+ logy
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Given
4x^2+9y^2=16xy
LHS
2log(2x-3y)=log (2x-3y)^2
=log(4x^2+9y^2--12xy)
=log (16xy-12xy)
=log4xy
=log 4+log x+log y
=2log 2+log x+log y
=RHS
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