It's Not Infinity

Algebra Level 4

\[\large \begin{align} y & = \log_2 x + \log_4 x + \log_{16} x + \cdots \\ \\ 4\log_4 x & = \frac {5+9+13+...+(4y+1)}{1+3+5+\cdots+(2y-1)} \end{align} \]

Find \(x^2y\).

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