What is expand log_{5}(\sqrt[3]{8*7*11}) ?

The solution to expand log_{5}(\sqrt[3]{8*7*11}) is 1/3 log_{5}(616)

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expand log_{5}(\sqrt[3]{8711})

expand

\frac{1}{3} lo g_{5} (616)

Decimal Notation

1.33032 \dots

Solution steps

Rewrite as

= lo g_{5} ((8 \cdot 7 \cdot 11)^{\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_{5} (8 \cdot 7 \cdot 11)

Multiply the numbers:

8 \cdot 7 \cdot 11 = 616

= \frac{1}{3} lo g_{5} (616)

(x + 2 - 1)^{2}

(\frac{1}{2} p + \frac{1}{q})^{18}

(4 + 3 i)^{7}

2 (7 + 5)

d y - (y - 1)^{2} d x

What is expand log_{5}(\sqrt[3]{8*7*11}) ?
The solution to expand log_{5}(\sqrt[3]{8*7*11}) is 1/3 log_{5}(616)