\(\frac{a+b^{22}}{a^2+b^{11}}\)
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 \[\frac{a+b^{22}}{a^2+b^{11}}?\]
by
Ajay Dutta