Let (x_0, y_0) be the solution of the following equations (2x)^ 2 = (3y)^ 3 3^ x = 2^ y . Then x_0 is

JEE Advanced 2011 Mathematics question

Let be the solution of the following equations

= .

Then is

Answer: (C)

Take natural logarithms. Second equation: . First equation: . Collect the terms: $ x(2 - )

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Question ID VK-025921