What is expand log_{10}(2)(15x(x-10)) ?

The solution to expand log_{10}(2)(15x(x-10)) is 15log_{10}(2)x^2-150log_{10}(2)x

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expand log_{10}(2)(15x(x-10))

expand

lo g_{10} (2) (15 x (x - 10))

15 lo g_{10} (2) x^{2} - 150 lo g_{10} (2) x

Solution steps

lo g_{10} (2) (15 x (x - 10))

Remove parentheses:

(a) = a

= lo g_{10} (2) \cdot 15 x (x - 10)

= 15 lo g_{10} (2) x (x - 10)

Apply the distributive law:

a (b - c) = ab - a c

a = lo g_{10} (2) \cdot 15 x, b = x, c = 10

= lo g_{10} (2) \cdot 15 xx - lo g_{10} (2) \cdot 15 x \cdot 10

= 15 lo g_{10} (2) xx - 15 \cdot 10 lo g_{10} (2) x

Simplify

15 lo g_{10} (2) xx - 15 \cdot 10 lo g_{10} (2) x : 15 lo g_{10} (2) x^{2} - 150 lo g_{10} (2) x

= 15 lo g_{10} (2) x^{2} - 150 lo g_{10} (2) x

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What is expand log_{10}(2)(15x(x-10)) ?
The solution to expand log_{10}(2)(15x(x-10)) is 15log_{10}(2)x^2-150log_{10}(2)x