# 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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