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Popular >

simplify log_{2}(6)

Solution

simplify

lo g_{2} (6)

Solution

1 + lo g_{2} (3)

+1

Solution steps

lo g_{2} (6)

Factor the number:

6 = 2 \cdot 3

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

Apply log rule:

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

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

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

Apply log rule:

lo g_{a} (a) = 1

lo g_{2} (2) = 1

= 1 + lo g_{2} (3)

Popular Examples

x^{2} - 11 = 0

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1/2-1/8 q=(q-1)/4

\frac{1}{2} - \frac{1}{8} q = \frac{q - 1}{4}

Frequently Asked Questions (FAQ)

What is log_{2}(6) ?
The solution to log_{2}(6) is 1+log_{2}(3)