What is expand log_{10}(7)(3x-2)^2 ?

The solution to expand log_{10}(7)(3x-2)^2 is 9log_{10}(7)x^2-12xlog_{10}(7)+4log_{10}(7)

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expand log_{10}(7)(3x-2)^2

expand

lo g_{10} (7) (3 x - 2)^{2}

9 lo g_{10} (7) x^{2} - 12 x lo g_{10} (7) + 4 lo g_{10} (7)

Solution steps

lo g_{10} (7) (3 x - 2)^{2}

Expand

(3 x - 2)^{2} : 9 x^{2} - 12 x + 4

= lo g_{10} (7) (9 x^{2} - 12 x + 4)

Apply the distributive law:

m (a + b + c) = ma + mb + m c

lo g_{10} (7) (9 x^{2} - 12 x + 4) = lo g_{10} (7) \cdot 9 x^{2} + lo g_{10} (7) (- 12 x) + lo g_{10} (7) \cdot 4

= lo g_{10} (7) \cdot 9 x^{2} + lo g_{10} (7) (- 12 x) + lo g_{10} (7) \cdot 4

Simplify

lo g_{10} (7) \cdot 9 x^{2} + lo g_{10} (7) (- 12 x) + lo g_{10} (7) \cdot 4 : 9 lo g_{10} (7) x^{2} - 12 x lo g_{10} (7) + 4 lo g_{10} (7)

= 9 lo g_{10} (7) x^{2} - 12 x lo g_{10} (7) + 4 lo g_{10} (7)

\frac{n ( n + 1 )}{2}

(9 x^{2} - 6 x + 81) arccsc (9 x^{2})

((x + Δ x)^{2} - 2)^{2}

x^{2} + y^{2} (x^{2} + y^{2})

(- cos (x) - sin (x)) (- sin (x) + cos (x) + 2)

What is expand log_{10}(7)(3x-2)^2 ?
The solution to expand log_{10}(7)(3x-2)^2 is 9log_{10}(7)x^2-12xlog_{10}(7)+4log_{10}(7)