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[" The solution set of the system of equations,"],[log_(12)x((1)/(log_(x)2)+log_(2)y)=log_(2)x" and "],[log_(2)x(log_(3)(x+y))=3log_(3)x" is "]

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The solution set of the system of equations log_12 x(1/(log_x 2)+log_2 y)=log_2 x and log_2 x.(log_3(x+y))=3 log_3 x is : (i) x=6, y=2 (ii) x=4, y=3 (iii) x=2, y=6 (iv) x=3, y=4

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