What is expand log_{9}(z^5\sqrt[3]{x}) ?

The solution to expand log_{9}(z^5\sqrt[3]{x}) is 5log_{9}(z)+log_{9}(\sqrt[3]{x})

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expand log_{9}(z^5\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_{9} (z^{5}) = 5 lo g_{9} (z)

lo g_{a} (6 x y^{5} z^{4})

5 lo g_{10} (3) + lo g_{10} (4)

lo g_{10} (k^{2} - 100) - lo g_{10} (k) - 10

ln (\frac{3 d}{4 ^{- 1}})

\frac{1}{3} - 3 ln (\frac{1}{3})

What is expand log_{9}(z^5\sqrt[3]{x}) ?
The solution to expand log_{9}(z^5\sqrt[3]{x}) is 5log_{9}(z)+log_{9}(\sqrt[3]{x})