a+b22a2+b11\frac{a+b^{22}}{a^2+b^{11}}

Algebra Level 2

If a>b>1a>b>1 and logab+611logba=6711,\log_a b+\frac{6}{11}\log_b a=\frac{67}{11}, what is the value of a+b22a2+b11?\frac{a+b^{22}}{a^2+b^{11}}?

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