[tex]\sqrt{3\sqrt[3]{9\sqrt{\frac{1}{3} } } } =\sqrt{\sqrt[3]{\sqrt{3^{6}.9^{2}.3^{-1} } } } =\sqrt[12]{3^{9} } = 3^{\frac{9}{12} } =3^{\frac{3}{4} }[/tex]
log₄[tex]3^{\frac{3}{4} }[/tex] = 3/4. log₄3 = 3/4.log(₂²)3 = (3/4).(1/2).log₂3 = 3/8.log₂3 = (3/8).a = 3a/8