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

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

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simplify log_{10}((y^4)/(x\sqrt[3]{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} (y^{4}) = 4 lo g_{10} (y)

Apply the distributive law:

- (a + b) = - a - b

4 lo g_{10} (5) + 1 lo g_{10} (x)

\frac{1}{7} lo g_{3} (5)

lo g_{8} (\frac{w ^{2}}{v})

\frac{1}{2} (lo g_{8} (x) + lo g_{8} (y))

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