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})

3 lo g_{10} (x^{5}) - 2 lo g_{10} (x^{4})

lo g_{10} (\frac{x ^{2} \cdot y}{3 z})

lo g_{2} (\frac{15 x ( x - 1 )}{( 3 x + 4 ) ( 2 - x )})

lo g_{5} (\frac{5 x ^{9}}{y})

lo g_{10} (3) + lo g_{10} (4) - lo g_{10} (2)

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}})