What is expand (2x^5+5x^4)ln(7x^5) ?

The solution to expand (2x^5+5x^4)ln(7x^5) is 2x^5ln(7x^5)+5x^4ln(7x^5)

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expand (2x^5+5x^4)ln(7x^5)

expand

(2 x^{5} + 5 x^{4}) ln (7 x^{5})

2 x^{5} ln (7 x^{5}) + 5 x^{4} ln (7 x^{5})

Solution steps

(2 x^{5} + 5 x^{4}) ln (7 x^{5})

= ln (7 x^{5}) (2 x^{5} + 5 x^{4})

Apply the distributive law:

a (b + c) = ab + a c

a = ln (7 x^{5}), b = 2 x^{5}, c = 5 x^{4}

= ln (7 x^{5}) \cdot 2 x^{5} + ln (7 x^{5}) \cdot 5 x^{4}

= 2 x^{5} ln (7 x^{5}) + 5 x^{4} ln (7 x^{5})

\frac{\partial}{\partial x} ((y) (x^{2} + 6 x y + y^{3}))

(x + \frac{1}{4}) (x + \frac{3}{4})

j, m = 4 i - 7 j - k^{0}

k e^{8 (k + 1)}

(15 + j^{37.89}) x - (j^{37}, 89) y

What is expand (2x^5+5x^4)ln(7x^5) ?
The solution to expand (2x^5+5x^4)ln(7x^5) is 2x^5ln(7x^5)+5x^4ln(7x^5)