An algebra problem by Florin Celoiu

Algebra Level 3

\[\Large n^{5^{[log_{5}2 + log_{5}x + log_{5}(1-\frac{9}{2x})]}}=n^{7^{log_{7}56 - log_{7}x}}\]

What is the positive integer number who satisfy the following equation (\(n\geq 2)\)?

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