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Is it a problem

Algebra Level 3

Let $(x , y)$ be the solution of the following system of equations:

$\begin{cases} (2x)^{\ln 2} = (3y)^{\ln 3} \\ 3^{\ln x} = 2^{\ln y } \\ \end{cases}$

What is $x$ ?

1/3 1/6 1/2 6

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by Sushil Kumar

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