# Blistering Bananas

Algebra Level 5

$\displaystyle (\log_2x)^4 + (\log_3y)^4 + (\log_465536) = 8\log_2x \log_3y$

Let $$x$$ and $$y$$ be real numbers greater than 1 that satisfy the equation above.

What is $$\lceil xy \rceil$$?

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