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

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

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expand log_{x}(\sqrt[3]{y})

expand

\frac{1}{3} lo g_{x} (y)

Solution steps

Rewrite as

= lo g_{x} (y^{\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_{x} (y)

(- 3, - 1) y (5, 2)

(w - \frac{1}{3})^{4}

p^{n} (1 - p)^{n (x - 1)}

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

(x + 6) (x + \frac{5}{3})

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