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Popular >

simplify log_{2}(150)

Solution

simplify

lo g_{2} (150)

Solution

1 + lo g_{2} (75)

+1

Decimal Notation

7.22881 \dots

Solution steps

lo g_{2} (150)

Factor the number:

150 = 2 \cdot 75

= lo g_{2} (2 \cdot 75)

Apply log rule:

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

lo g_{2} (2 \cdot 75) = lo g_{2} (2) + lo g_{2} (75)

= lo g_{2} (2) + lo g_{2} (75)

Apply log rule:

lo g_{a} (a) = 1

lo g_{2} (2) = 1

= 1 + lo g_{2} (75)

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Frequently Asked Questions (FAQ)

What is log_{2}(150) ?
The solution to log_{2}(150) is 1+log_{2}(75)