What is log_{3sqrt(27)}(+log_{3}(81)) ?

The solution to log_{3sqrt(27)}(+log_{3}(81)) is 2log_{3sqrt(27)}(2)

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simplify log_{3sqrt(27)}(+log_{3}(81))

simplify

lo g_{327} (+ lo g_{3} (81))

2 lo g_{327} (2)

Decimal Notation

0.50474 \dots

Solution steps

lo g_{327} (lo g_{3} (81))

lo g_{3} (81) = 4

= lo g_{327} (4)

Factor the number:

4 = 2^{2}

= lo g_{327} (2^{2})

Apply log rule:

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

lo g_{327} (2^{2}) = 2 lo g_{327} (2)

= 2 lo g_{327} (2)

(x - 4) (x - 5) (x + 2) (x + 7)

(3 x + 4) (2 x - 5)

- 1 - 8

(y - x^{2})^{3}

5 \cdot 13

What is log_{3sqrt(27)}(+log_{3}(81)) ?
The solution to log_{3sqrt(27)}(+log_{3}(81)) is 2log_{3sqrt(27)}(2)