What is log_{10}((x\sqrt[3]{y})/(z^2)) ?

The solution to log_{10}((x\sqrt[3]{y})/(z^2)) is log_{10}(x)+log_{10}(\sqrt[3]{y})-2log_{10}(z)

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simplify log_{10}((x\sqrt[3]{y})/(z^2))

simplify

Solution steps

Apply log rule:

lo g_{a} (\frac{x}{y}) = lo g_{a} (x) - lo g_{a} (y)

lo g_{10} (z^{2}) = 2 lo g_{10} (z)

- 5 ln (2 x)

4 lo g_{6} (2) + lo g_{6} (3) + 6 lo g_{36} (3)

ln (x) + ln (11)

ln (\frac{2}{5 x ^{5} y})

lo g_{10} (\frac{m ^{3}}{n})

What is log_{10}((x\sqrt[3]{y})/(z^2)) ?
The solution to log_{10}((x\sqrt[3]{y})/(z^2)) is log_{10}(x)+log_{10}(\sqrt[3]{y})-2log_{10}(z)