What is 3log_{2}(8)+4log_{2}(1/2)-log_{3}(2) ?

The solution to 3log_{2}(8)+4log_{2}(1/2)-log_{3}(2) is 5-log_{3}(2)

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simplify 3log_{2}(8)+4log_{2}(1/2)-log_{3}(2)

simplify

3 lo g_{2} (8) + 4 lo g_{2} (\frac{1}{2}) - lo g_{3} (2)

5 - lo g_{3} (2)

Decimal Notation

4.36907 \dots

Solution steps

3 lo g_{2} (8) + 4 lo g_{2} (\frac{1}{2}) - lo g_{3} (2)

3 lo g_{2} (8) = 9

4 lo g_{2} (\frac{1}{2}) = - 4

= 9 - 4 - lo g_{3} (2)

Subtract the numbers:

9 - 4 = 5

= 5 - lo g_{3} (2)

3 x^{2} - 8 x + 7 = 0

(8 x + 7)^{2} = 27

10 - (4 - x) = 20 + (x - 4)

(\frac{2 x ^{3} y ^{2} z}{3 x ^{4} y z ^{- 2}})^{- 2}

- 4 > x

What is 3log_{2}(8)+4log_{2}(1/2)-log_{3}(2) ?
The solution to 3log_{2}(8)+4log_{2}(1/2)-log_{3}(2) is 5-log_{3}(2)