[tex]4 \sqrt[3]{2} = {2}^{2} \sqrt[3]{2} = \sqrt[3] { {2}^{6} \times 2 } = \\ \sqrt[3]{ {2}^{7} } = 2 {}^{ \frac{7}{3} } [/tex]
[tex] log_{2}(4 \sqrt[3]{2} ) = log_{2}(2 {}^{ \frac{7}{3} } ) = \\ = \frac{7}{3} \times log_{2}(2) = \\ = \frac{7}{3} \times 1 = \frac{7}{3} [/tex]
