What is log_{10}((x^5)/(\sqrt[3]{y^2z)}) ?

The solution to log_{10}((x^5)/(\sqrt[3]{y^2z)}) is 5log_{10}(x)-log_{10}(\sqrt[3]{y^2z})

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simplify log_{10}((x^5)/(\sqrt[3]{y^2z)})

simplify

Solution steps

Apply log rule:

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

Simplify

lo g_{10} (x^{5}) : 5 lo g_{10} (x)

\frac{1}{2 lo g _{2} ( 3 )} + \frac{1}{2 lo g _{5} ( 3 )}

ln (\frac{9}{7})

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What is log_{10}((x^5)/(\sqrt[3]{y^2z)}) ?
The solution to log_{10}((x^5)/(\sqrt[3]{y^2z)}) is 5log_{10}(x)-log_{10}(\sqrt[3]{y^2z})