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Popular >

simplify 5log_{7}(\sqrt[6]{49})

Solution

simplify

Solution

\frac{5}{3}

+1

Decimal Notation

1.66666 \dots

Solution steps

= 5 lo g_{7} (7^{\frac{1}{3}})

Apply log rule:

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

lo g_{7} (7^{\frac{1}{3}}) = \frac{1}{3}

= 5 \cdot \frac{1}{3}

5 \cdot \frac{1}{3} = \frac{5}{3}

= \frac{5}{3}

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Frequently Asked Questions (FAQ)

What is 5log_{7}(\sqrt[6]{49}) ?
The solution to 5log_{7}(\sqrt[6]{49}) is 5/3