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Popular >

simplify 6log_{3}(\sqrt[5]{27})

Solution

simplify

Solution

\frac{18}{5}

+1

Decimal Notation

3.6

Solution steps

= 6 lo g_{3} (3^{\frac{3}{5}})

Apply log rule:

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

lo g_{3} (3^{\frac{3}{5}}) = \frac{3}{5}

= 6 \cdot \frac{3}{5}

6 \cdot \frac{3}{5} = \frac{18}{5}

= \frac{18}{5}

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Frequently Asked Questions (FAQ)

What is 6log_{3}(\sqrt[5]{27}) ?
The solution to 6log_{3}(\sqrt[5]{27}) is 18/5