What is expand 6log_{x}(2)(3log_{2}(x)+100log_{x}(2)) ?

The solution to expand 6log_{x}(2)(3log_{2}(x)+100log_{x}(2)) is 18+600log_{x}(2)^2

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expand 6log_{x}(2)(3log_{2}(x)+100log_{x}(2))

expand

6 lo g_{x} (2) (3 lo g_{2} (x) + 100 lo g_{x} (2))

18 + 600 lo g_{x} (2)^{2}

Solution steps

6 lo g_{x} (2) (3 lo g_{2} (x) + 100 lo g_{x} (2))

Apply the distributive law:

a (b + c) = ab + a c

6 lo g_{x} (2) (3 lo g_{2} (x) + 100 lo g_{x} (2)) = 6 lo g_{x} (2) \cdot 3 lo g_{2} (x) + 6 lo g_{x} (2) \cdot 100 lo g_{x} (2)

= 6 lo g_{x} (2) \cdot 3 lo g_{2} (x) + 6 lo g_{x} (2) \cdot 100 lo g_{x} (2)

Simplify

6 lo g_{x} (2) \cdot 3 lo g_{2} (x) + 6 lo g_{x} (2) \cdot 100 lo g_{x} (2) : 18 + 600 lo g_{x} (2)^{2}

= 18 + 600 lo g_{x} (2)^{2}

(1 - 5)^{5}

(x + 2 x y)^{3}

(7 d - 9 e + 2 f) \times 3 f

x (7 x^{2} + 14 x - 11)

(e^{2 t} - e^{t}) (e^{2 t} + e^{t})

What is expand 6log_{x}(2)(3log_{2}(x)+100log_{x}(2)) ?
The solution to expand 6log_{x}(2)(3log_{2}(x)+100log_{x}(2)) is 18+600log_{x}(2)^2