What is join log_{9sqrt(3)}(3)*\sqrt[5]{27} ?

The solution to join log_{9sqrt(3)}(3)*\sqrt[5]{27} is log_{9sqrt(3)}(3^{\sqrt[5]{27}})

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join log_{9sqrt(3)}(3)*\sqrt[5]{27}

join

Decimal Notation

0.77327 \dots

Solution steps

Apply log rule:

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

lo g_{y} (3 ab c)

lo g_{10} (\frac{b ^{3}}{a})

lo g_{10} (m^{n}) - lo g_{10} (p^{q})

- 3 lo g_{5} (\frac{1}{x}) + \frac{1}{2} lo g_{5} (x)

\frac{1}{2} lo g_{7} (x) - lo g_{7} (x + 1)

What is join log_{9sqrt(3)}(3)*\sqrt[5]{27} ?
The solution to join log_{9sqrt(3)}(3)*\sqrt[5]{27} is log_{9sqrt(3)}(3^{\sqrt[5]{27}})