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Popular >

simplify 2log_{8}(\sqrt[5]{64})

Solution

simplify

Solution

\frac{4}{5}

+1

Decimal Notation

0.8

Solution steps

= 2 lo g_{8} (8^{\frac{2}{5}})

Apply log rule:

lo g_{a} (a^{b}) = b

lo g_{8} (8^{\frac{2}{5}}) = \frac{2}{5}

= 2 \cdot \frac{2}{5}

2 \cdot \frac{2}{5} = \frac{4}{5}

= \frac{4}{5}

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Frequently Asked Questions (FAQ)

What is 2log_{8}(\sqrt[5]{64}) ?
The solution to 2log_{8}(\sqrt[5]{64}) is 4/5