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Popular >

simplify log_{2}(22)

Solution

simplify

lo g_{2} (22)

Solution

1 + lo g_{2} (11)

+1

Decimal Notation

4.45943 \dots

Solution steps

lo g_{2} (22)

Factor the number:

22 = 2 \cdot 11

= lo g_{2} (2 \cdot 11)

Apply log rule:

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

lo g_{2} (2 \cdot 11) = lo g_{2} (2) + lo g_{2} (11)

= lo g_{2} (2) + lo g_{2} (11)

Apply log rule:

lo g_{a} (a) = 1

lo g_{2} (2) = 1

= 1 + lo g_{2} (11)

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Frequently Asked Questions (FAQ)

What is log_{2}(22) ?
The solution to log_{2}(22) is 1+log_{2}(11)