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

The solution to expand log_{10}(z^3\sqrt[3]{x}) is 3log_{10}(z)+log_{10}(\sqrt[3]{x})

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expand log_{10}(z^3\sqrt[3]{x})

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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} (z^{3}) = 3 lo g_{10} (z)

10 \cdot lo g_{10} (\frac{( 5 \cdot 1 0 ^{- 3} )}{1})

\frac{3}{8} \cdot ln (\frac{8}{3}) + \frac{10}{16} \cdot ln (\frac{16}{5})

lo g_{9} (\frac{4 x}{y ^{5}})

ln (2 (e^{e}))

3 lo g_{10} (a) + lo g_{10} (b) - \frac{1}{2} lo g_{10} (c)

What is expand log_{10}(z^3\sqrt[3]{x}) ?
The solution to expand log_{10}(z^3\sqrt[3]{x}) is 3log_{10}(z)+log_{10}(\sqrt[3]{x})