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})

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Solution steps

Apply log rule:

lo g_{c} (ab) = 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_{4} (\frac{16}{x})

- lo g_{10} (3.2 \cdot 1 0^{- 5})

lo g_{10} (\frac{p ^{2} q ^{3}}{r})

ln (\frac{29}{23.2})

- lo g_{8} (3 x - 4) + 3 lo g_{8} (x + 9)

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})