What is expand (e^{3x}ln(5x+2))(5x+2) ?

The solution to expand (e^{3x}ln(5x+2))(5x+2) is 5e^{3x}xln(5x+2)+2e^{3x}ln(5x+2)

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expand (e^{3x}ln(5x+2))(5x+2)

expand

(e^{3 x} ln (5 x + 2)) (5 x + 2)

5 e^{3 x} x ln (5 x + 2) + 2 e^{3 x} ln (5 x + 2)

Solution steps

(e^{3 x} ln (5 x + 2)) (5 x + 2)

Apply the distributive law:

a (b + c) = ab + a c

a = (e^{3 x} ln (5 x + 2)), b = 5 x, c = 2

= (e^{3 x} ln (5 x + 2)) \cdot 5 x + (e^{3 x} ln (5 x + 2)) \cdot 2

= 5 x (e^{3 x} ln (5 x + 2)) + 2 (e^{3 x} ln (5 x + 2))

Remove parentheses:

(a) = a

= 5 e^{3 x} x ln (5 x + 2) + 2 e^{3 x} ln (5 x + 2)

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What is expand (e^{3x}ln(5x+2))(5x+2) ?
The solution to expand (e^{3x}ln(5x+2))(5x+2) is 5e^{3x}xln(5x+2)+2e^{3x}ln(5x+2)