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

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

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expand log_{10}((y^4)/(\sqrt[3]{xz^2)})

expand

Solution steps

Apply log rule:

lo g_{c} (\frac{a}{b}) = lo g_{c} (a) - lo g_{c} (b)

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

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

lo g_{10} (y) + 6 lo g_{10} (z)

lo g_{4} (\frac{y}{x})

lo g_{5} (7 x)

3 lo g_{5} (x) - \frac{1}{2} lo g_{5} (6 - x)

ln (x) + ln (20)

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