What is (x-2)log_{2}(3)-3x ?

The solution to (x-2)log_{2}(3)-3x is x(-3+log_{2}(3))-2log_{2}(3)

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simplify (x-2)log_{2}(3)-3x

simplify

(x - 2) lo g_{2} (3) - 3 x

x (- 3 + lo g_{2} (3)) - 2 lo g_{2} (3)

Solution steps

(x - 2) lo g_{2} (3) - 3 x

= lo g_{2} (3) (x - 2) - 3 x

Expand

lo g_{2} (3) (x - 2) : lo g_{2} (3) x - 2 lo g_{2} (3)

= lo g_{2} (3) x - 2 lo g_{2} (3) - 3 x

Group like terms

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

Factor out common term

x

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

(3 e^{2} - 5 a) (5 a + 3 e^{2})

(2 - \frac{1}{2} x)^{2}

\frac{e ^{- s}}{s ( s ^{2} - 5 s + 6 )} + \frac{1}{s ^{2} - 5 s + 6}

\frac{2 h ( m + n )}{t ^{2} ( m - n u )}

(\frac{1}{k} y + \frac{b}{2})^{2}

What is (x-2)log_{2}(3)-3x ?
The solution to (x-2)log_{2}(3)-3x is x(-3+log_{2}(3))-2log_{2}(3)