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Popular >

simplify log_{\sqrt[6]{13}}(13)

Solution

simplify

Solution

6

Solution steps

Apply radical rule:

= lo g_{1 3^{\frac{1}{6}}} (13)

Apply log rule:

lo g_{a^{b}} (x) = \frac{1}{b} lo g_{a} (x), a > 0

lo g_{1 3^{\frac{1}{6}}} (13) = \frac{1}{\frac{1}{6}} lo g_{13} (13)

= \frac{1}{\frac{1}{6}} lo g_{13} (13)

Apply log rule:

lo g_{a} (a) = 1

lo g_{13} (13) = 1

= \frac{1}{\frac{1}{6}} \cdot 1

\frac{1}{\frac{1}{6}} \cdot 1 = 6

= 6

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Frequently Asked Questions (FAQ)

What is log_{\sqrt[6]{13}}(13) ?
The solution to log_{\sqrt[6]{13}}(13) is 6