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

The solution to expand log_{4}(\sqrt[4]{(x^3y^2)/(z^4)}) is 1/4 log_{4}(x^3y^2)-log_{4}(z)

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

expand

\frac{1}{4} lo g_{4} (x^{3} y^{2}) - lo g_{4} (z)

Solution steps

Apply log rule:

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

Simplify

= \frac{1}{4} lo g_{4} (x^{3} y^{2}) - lo g_{4} (z)

\frac{1 - x + 2 x ^{2} - x ^{3}}{x ( x ^{2} + 1 ) ^{2}}

(sin (2 x) + cos (2 x))^{2}

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(2 + 7) \cdot 3

\frac{1}{s ( s - 1 )}

What is expand log_{4}(\sqrt[4]{(x^3y^2)/(z^4)}) ?
The solution to expand log_{4}(\sqrt[4]{(x^3y^2)/(z^4)}) is 1/4 log_{4}(x^3y^2)-log_{4}(z)