Question

Solve $\log \left(10÷\sqrt[3]{310}\right)$

Answer 1

$lo{g}_{10}\left(\frac{10}{\sqrt[3]{310}}\right)=lo{g}_{10}\left(\frac{10}{10\frac{1}{3}}\right)$

$=lo{g}_{10}\left({10}^{1-\frac{1}{3}}\right)$

$=lo{g}_{10}\left({10}^{+\frac{2}{3}}\right)$

$=\frac{2}{3}lo{g}_{10}^{10}$ $lo{g}_a^a=1$

$=\frac{2}{3}$