Holiday Problem #5

Algebra Level 3

\[ \LARGE \sqrt[{x-4}]{ \color{green}5^{ \frac {x}{\sqrt x + 2} } \times (\color{green} {0.2})^{ \frac {4}{\sqrt x + 2} } } = \color{green} {125} \times (\color{green} {0.04})^{ \frac {x-2}{x-4} } \]

Solve for \(x\)

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