What is log_{10}((x^4)/(\sqrt[3]{y)z^2}) ?

The solution to log_{10}((x^4)/(\sqrt[3]{y)z^2}) is 4log_{10}(x)-log_{10}(\sqrt[3]{y})-2log_{10}(z)

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simplify log_{10}((x^4)/(\sqrt[3]{y)z^2})

simplify

Solution steps

Apply log rule:

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

lo g_{10} (x^{4}) = 4 lo g_{10} (x)

Apply the distributive law:

- (a + b) = - a - b

lo g_{10} (\frac{11 a}{4})

lo g_{x} (\frac{1}{2})

ln (9 x) - ln (9)

lo g_{8} (\frac{9 x ^{3}}{4 y ^{2}})

What is log_{10}((x^4)/(\sqrt[3]{y)z^2}) ?
The solution to log_{10}((x^4)/(\sqrt[3]{y)z^2}) is 4log_{10}(x)-log_{10}(\sqrt[3]{y})-2log_{10}(z)