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Popular >

simplify log_{2}(96)

Solution

simplify

lo g_{2} (96)

Solution

5 + lo g_{2} (3)

+1

Decimal Notation

6.58496 \dots

Solution steps

lo g_{2} (96)

Factor the number:

96 = 2^{5} \cdot 3

= lo g_{2} (2^{5} \cdot 3)

Apply log rule:

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

lo g_{2} (2^{5} \cdot 3) = lo g_{2} (2^{5}) + lo g_{2} (3)

= lo g_{2} (2^{5}) + lo g_{2} (3)

Apply log rule:

lo g_{a} (a^{b}) = b

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

= 5 + lo g_{2} (3)

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Frequently Asked Questions (FAQ)

What is log_{2}(96) ?
The solution to log_{2}(96) is 5+log_{2}(3)