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

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

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

simplify

Solution steps

Apply log rule:

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

Simplify

ln (\frac{1}{9 k})

lo g_{b} (z^{5} x)

lo g_{10} (x) - 8 lo g_{10} (y) + 9 lo g_{10} (z)

lo g_{10} (7 a) + lo g_{10} (6 b)

3 (lo g_{7} (x) + 3 lo g_{7} (y) - 4 lo g_{7} (z))

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