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

The solution to log_{10}(x\sqrt[3]{y}) is log_{10}(x)+log_{10}(\sqrt[3]{y})

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simplify log_{10}(x\sqrt[3]{y})

simplify

Solution steps

Apply log rule:

lo g_{a} (x y) = lo g_{a} (x) + lo g_{a} (y)

lo g_{b} (\frac{1}{56})

ln (x^{3}) - ln (x^{2})

lo g_{10} ((\frac{x}{y})^{2})

ln (x) - 4 ln (8 x^{3} + 27) - \frac{3}{2} ln (x - 12)

ln (\frac{5 a}{7 x + 6})

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