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

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

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

simplify

Solution steps

Apply log rule:

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

Simplify

lo g_{3} (\frac{8 x}{y})

2 lo g_{10} (10 x)

ln (\frac{4}{6})

2 (lo g_{5} (x) + 3 lo g_{5} (y) - 5 lo g_{5} (z))

- 2 (lo g_{10} (15) + \frac{1}{2} \cdot lo g_{10} (\frac{1}{9}))

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