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

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

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expand log_{4}(\sqrt[3]{xyz})

expand

\frac{1}{3} lo g_{4} (x yz)

Solution steps

Rewrite as

= lo g_{4} ((x yz)^{\frac{1}{3}})

Apply log rule

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x),

assuming

x \geq 0

= \frac{1}{3} lo g_{4} (x yz)

e^{y} (\frac{d y}{d x} + 1)

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\frac{1}{2 x + 1} + \frac{2}{x - 1}

\frac{( 6 - x ) ^{2}}{4}

a x^{2} + (a + b) x - c

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