What is log_{3sqrt(3)}(27) ?

The solution to log_{3sqrt(3)}(27) is 3log_{3sqrt(3)}(3)

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simplify log_{3sqrt(3)}(27)

simplify

lo g_{33} (27)

3 lo g_{33} (3)

Decimal Notation

2

Solution steps

lo g_{33} (27)

Factor the number:

27 = 3^{3}

= lo g_{33} (3^{3})

Apply log rule:

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

lo g_{33} (3^{3}) = 3 lo g_{33} (3)

= 3 lo g_{33} (3)

5 \times 25

\frac{1}{2} \times \frac{3}{2}

\frac{18}{63}

(x - 1) (- x^{2} + x + 9)

9 \times (- 2)

What is log_{3sqrt(3)}(27) ?
The solution to log_{3sqrt(3)}(27) is 3log_{3sqrt(3)}(3)