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Popular >

simplify log_{2}(30)

Solution

simplify

lo g_{2} (30)

Solution

1 + lo g_{2} (15)

+1

Decimal Notation

4.90689 \dots

Solution steps

lo g_{2} (30)

Factor the number:

30 = 2 \cdot 15

= lo g_{2} (2 \cdot 15)

Apply log rule:

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

lo g_{2} (2 \cdot 15) = lo g_{2} (2) + lo g_{2} (15)

= lo g_{2} (2) + lo g_{2} (15)

Apply log rule:

lo g_{a} (a) = 1

lo g_{2} (2) = 1

= 1 + lo g_{2} (15)

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Frequently Asked Questions (FAQ)

What is log_{2}(30) ?
The solution to log_{2}(30) is 1+log_{2}(15)