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Popular >

simplify log_{a}(\sqrt[5]{a})

Solution

simplify

lo g_{a} (5 a)

Solution

\frac{1}{5}

+1

Decimal

0.2

Solution steps

lo g_{a} (5 a)

Apply radical rule:

n a = a^{\frac{1}{n}}

5 a = a^{\frac{1}{5}}

= lo g_{a} (a^{\frac{1}{5}})

Apply log rule:

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

= \frac{1}{5}

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Frequently Asked Questions (FAQ)

What is log_{a}(\sqrt[5]{a}) ?
The solution to log_{a}(\sqrt[5]{a}) is 1/5