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

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

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

simplify

Solution steps

Apply log rule:

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

Simplify

Apply the distributive law:

- (a + b) = - a - b

lo g_{4} (5 x^{3} y)

lo g_{10} (\frac{x ^{3}}{y})

4 lo g_{b} (u) - 6 lo g_{b} (v)

ln (\frac{e ^{9}}{5})

lo g_{x} (ab)

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