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Popular >

simplify log_{3}(24)

Solution

simplify

lo g_{3} (24)

Solution

1 + 3 lo g_{3} (2)

+1

Decimal Notation

2.89278 \dots

Solution steps

lo g_{3} (24)

Factor the number:

24 = 3 \cdot 8

= lo g_{3} (3 \cdot 8)

Apply log rule:

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

lo g_{3} (3 \cdot 8) = lo g_{3} (3) + lo g_{3} (8)

= lo g_{3} (3) + lo g_{3} (8)

Apply log rule:

lo g_{a} (a) = 1

lo g_{3} (3) = 1

= 1 + lo g_{3} (8)

lo g_{3} (8) = 3 lo g_{3} (2)

= 1 + 3 lo g_{3} (2)

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Frequently Asked Questions (FAQ)

What is log_{3}(24) ?
The solution to log_{3}(24) is 1+3log_{3}(2)