What is expand log_{b}(\sqrt[3]{xyz}) ?

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

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

expand

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

Solution steps

Rewrite as

= lo g_{b} ((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_{b} (x yz)

(x + 2 + 3) (x - 2 - 3)

300 (6 - e^{- 0.003 \cdot a})

A (- 1, - 3) Y B (- 2, - 5)

\frac{16000 ( 2 - 2 )}{9}

21 (107 - e^{\frac{5}{2}})

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