[tex] log_{9} \sqrt[3]{ \frac{1}{3} } = x[/tex]
[tex] 9^{x} = \sqrt[3]{ \frac{1}{3} } [/tex]
[tex] (3^{2}) ^{x} = \sqrt[3]{ 3^{-1} } [/tex]
[tex] 3^{2x} = ( 3^{-1} )^{ \frac{1}{3} } [/tex]
[tex] 3^{2x} = 3^{ \frac{-1}{3} } [/tex]
[tex]2x = \frac{-1}{3} [/tex]
[tex] x = \frac{ \frac{-1}{3} }{2} = - \frac{1}{6} [/tex]
