log_9(3\sqrt[3]9) …
log_9(3\sqrt[3]9)=x
9^x=3\sqrt[3]9
3^{2x}=3*9^{\frac{1}{3}}
3^{2x}=3*3^{\frac{2}{3}}
3^{2x}=3^{\frac{5}{3}}
2x=\frac{5}{3}/ :2
x=\frac{5}{6}