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Popular >

simplify log_{3}(48)

Solution

simplify

lo g_{3} (48)

Solution

1 + 4 lo g_{3} (2)

+1

Decimal Notation

3.52371 \dots

Solution steps

lo g_{3} (48)

Factor the number:

48 = 3 \cdot 16

= lo g_{3} (3 \cdot 16)

Apply log rule:

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

lo g_{3} (3 \cdot 16) = lo g_{3} (3) + lo g_{3} (16)

= lo g_{3} (3) + lo g_{3} (16)

Apply log rule:

lo g_{a} (a) = 1

lo g_{3} (3) = 1

= 1 + lo g_{3} (16)

lo g_{3} (16) = 4 lo g_{3} (2)

= 1 + 4 lo g_{3} (2)

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Frequently Asked Questions (FAQ)

What is log_{3}(48) ?
The solution to log_{3}(48) is 1+4log_{3}(2)