$$( \frac { 3 } { 11 } ) ^ { 2 y } \times ( \frac { 3 } { 11 } ) ^ { 3 } = ( \frac { 3 } { 11 } ) ^ { 7 }$$
$y=2$
$y=\frac{\pi n_{1}i}{\ln(\frac{3}{11})}+\log_{\frac{3}{11}}\left(\frac{9}{121}\right)$
$n_{1}\in \mathrm{Z}$