Let $\left(x_0, y_0\right)$ be the solution of the following equations $(2 x)^{\ln 2} =(3 y)^{\ln 3}$ $3^{\ln x} =2^{\ln y}$ . Then $x_0$ is

  • [IIT 2011]
  • A

    $\frac{1}{6}$

  • B

    $\frac{1}{3}$

  • C

    $\frac{1}{2}$

  • D

    $6$

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