What is 6(2+3log_{2}(5)) ?

The solution to 6(2+3log_{2}(5)) is 12+18log_{2}(5)

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simplify 6(2+3log_{2}(5))

simplify

6 (2 + 3 lo g_{2} (5))

12 + 18 lo g_{2} (5)

Decimal Notation

53.79470 \dots

Solution steps

6 (2 + 3 lo g_{2} (5))

Apply the distributive law:

a (b + c) = ab + a c

6 (2 + 3 lo g_{2} (5)) = 6 \cdot 2 + 6 \cdot 3 lo g_{2} (5)

= 6 \cdot 2 + 6 \cdot 3 lo g_{2} (5)

6 \cdot 2 + 6 \cdot 3 lo g_{2} (5) = 12 + 18 lo g_{2} (5)

= 12 + 18 lo g_{2} (5)

2 ((3 x + 4 y) (4 y - 3 x) (3 x - 4 y))

144 (\frac{7 y}{9} + \frac{3}{4})

(t - 1 + \frac{t ^{2}}{2}) (1 + t)

(- 2 cos (x) - 4)^{2}

e^{- 3 (t - 3)} - e^{- 3 (t - 5)}