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Popular >

simplify log_{3}(30)

Solution

simplify

lo g_{3} (30)

Solution

1 + lo g_{3} (10)

+1

Decimal Notation

3.09590 \dots

Solution steps

lo g_{3} (30)

Factor the number:

30 = 3 \cdot 10

= lo g_{3} (3 \cdot 10)

Apply log rule:

lo g_{a} (x y) = lo g_{a} (x) + lo g_{a} (y)

lo g_{3} (3 \cdot 10) = lo g_{3} (3) + lo g_{3} (10)

= lo g_{3} (3) + lo g_{3} (10)

Apply log rule:

lo g_{a} (a) = 1

lo g_{3} (3) = 1

= 1 + lo g_{3} (10)

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Frequently Asked Questions (FAQ)

What is log_{3}(30) ?
The solution to log_{3}(30) is 1+log_{3}(10)