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

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

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

simplify

Solution steps

Apply log rule:

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

lo g_{6} (\frac{( w ^{2} )}{4})

lo g_{2} (\frac{x ^{2}}{x - 3})

lo g_{2} (\frac{c}{4})

lo g_{2} (\frac{4 x + 1}{5})

\frac{1}{2} ln (x) + 4 ln (y) - 3 ln (z)

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