What is expand log_{3}(z^2\sqrt[3]{x}) ?

The solution to expand log_{3}(z^2\sqrt[3]{x}) is 2log_{3}(z)+log_{3}(\sqrt[3]{x})

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expand log_{3}(z^2\sqrt[3]{x})

expand

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_{3} (z^{2}) = 2 lo g_{3} (z)

- lo g_{10} (3.6 e^{- 13})

ln (7.83) - 6 ln (10)

\frac{ln ( 36731 ) - ln ( 27682 )}{2021 - 2000}

2 ln (2 + 1) + ln (2 + 1) + 1 - 2 - 2 ln (2)

ln (\frac{x ^{3}}{8})

What is expand log_{3}(z^2\sqrt[3]{x}) ?
The solution to expand log_{3}(z^2\sqrt[3]{x}) is 2log_{3}(z)+log_{3}(\sqrt[3]{x})