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Popular >

simplify log_{2}(12)

Solution

simplify

lo g_{2} (12)

Solution

2 + lo g_{2} (3)

+1

Decimal Notation

3.58496 \dots

Solution steps

lo g_{2} (12)

Factor the number:

12 = 2^{2} \cdot 3

= lo g_{2} (2^{2} \cdot 3)

Apply log rule:

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

lo g_{2} (2^{2} \cdot 3) = lo g_{2} (2^{2}) + lo g_{2} (3)

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

Apply log rule:

lo g_{a} (a^{b}) = b

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

= 2 + lo g_{2} (3)

Popular Examples

\frac{18}{4}

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simplify 36/4 simplify

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Frequently Asked Questions (FAQ)

What is log_{2}(12) ?
The solution to log_{2}(12) is 2+log_{2}(3)