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Algebra Level 3

We define \(x^{x^{x^{x^{...}}}}=3\)

\(y=\sqrt{4{\sqrt{4{\sqrt{4{\sqrt{...}}}}}}}\)

\(z=\sqrt{5+\sqrt{5+{\sqrt{5+\sqrt{...}}}}}\)

If \(x^{3} +y+z=\frac{a+\sqrt{b}}{c}\) find \(\frac{a+b}{3c}\)

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