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$\frac{a+b^{22}}{a^2+b^{11}}$

Algebra Level 2

If $a>b>1$ and $\log_a b+\frac{6}{11}\log_b a=\frac{67}{11},$ what is the value of $\frac{a+b^{22}}{a^2+b^{11}}?$

\frac{1}{11}

1 2

\frac{1}{2}

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by Ajay Dutta

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