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Popular >

simplify log_{2}(50)

Solution

simplify

lo g_{2} (50)

Solution

1 + 2 lo g_{2} (5)

+1

Decimal Notation

5.64385 \dots

Solution steps

lo g_{2} (50)

Factor the number:

50 = 2 \cdot 25

= lo g_{2} (2 \cdot 25)

Apply log rule:

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

lo g_{2} (2 \cdot 25) = lo g_{2} (2) + lo g_{2} (25)

= lo g_{2} (2) + lo g_{2} (25)

Apply log rule:

lo g_{a} (a) = 1

lo g_{2} (2) = 1

= 1 + lo g_{2} (25)

lo g_{2} (25) = 2 lo g_{2} (5)

= 1 + 2 lo g_{2} (5)

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Frequently Asked Questions (FAQ)

What is log_{2}(50) ?
The solution to log_{2}(50) is 1+2log_{2}(5)