What is log_{2}(10)+log_{2}(20) ?

The solution to log_{2}(10)+log_{2}(20) is log_{2}(200)

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simplify log_{2}(10)+log_{2}(20)

simplify

lo g_{2} (10) + lo g_{2} (20)

lo g_{2} (200)

Decimal Notation

7.64385 \dots

Solution steps

lo g_{2} (10) + lo g_{2} (20)

Apply log rule:

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

lo g_{2} (10) + lo g_{2} (20) = lo g_{2} (10 \cdot 20)

= lo g_{2} (10 \cdot 20)

Multiply the numbers:

10 \cdot 20 = 200

= lo g_{2} (200)

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What is log_{2}(10)+log_{2}(20) ?
The solution to log_{2}(10)+log_{2}(20) is log_{2}(200)