What is join 5log_{9sqrt(3)}(3) ?

The solution to join 5log_{9sqrt(3)}(3) is log_{9sqrt(3)}(243)

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join 5log_{9sqrt(3)}(3)

join

5 lo g_{93} (3)

lo g_{93} (243)

Decimal Notation

2

Solution steps

5 lo g_{93} (3)

Apply log rule:

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

5 lo g_{93} (3) = lo g_{93} (3^{5})

= lo g_{93} (3^{5})

3^{5} = 243

= lo g_{93} (243)

2 ln (x) - \frac{3}{2} ln (y) + \frac{1}{2} ln (z)

\frac{1}{2} ln (x) + 6 ln (y) - 7 ln (z)

- (ln (3 x))^{2} + 10 ln (3 x)

- \frac{2}{3} lo g_{5} (5 m^{2}) + \frac{1}{2} lo g_{5} (25 m^{2})

What is join 5log_{9sqrt(3)}(3) ?
The solution to join 5log_{9sqrt(3)}(3) is log_{9sqrt(3)}(243)