What is expand 5(ln(3x-4)+(3x)/(3x-4)) ?

The solution to expand 5(ln(3x-4)+(3x)/(3x-4)) is 5ln(3x-4)+(15x)/(3x-4)

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expand 5(ln(3x-4)+(3x)/(3x-4))

expand

5 (ln (3 x - 4) + \frac{3 x}{3 x - 4})

5 ln (3 x - 4) + \frac{15 x}{3 x - 4}

Solution steps

5 (ln (3 x - 4) + \frac{3 x}{3 x - 4})

Apply the distributive law:

a (b + c) = ab + a c

a = 5, b = ln (3 x - 4), c = \frac{3 x}{3 x - 4}

= 5 ln (3 x - 4) + 5 \cdot \frac{3 x}{3 x - 4}

5 \cdot \frac{3 x}{3 x - 4} = \frac{15 x}{3 x - 4}

= 5 ln (3 x - 4) + \frac{15 x}{3 x - 4}

\frac{1}{2} (x - \frac{π}{4})

(1 - π)^{2}

(cos (a) - 1) (cos (a) + 1)

(x - 4) (x - 6 + 7) (x - 6 - 7)

\frac{π ( - 3 + 2 )}{12}

What is expand 5(ln(3x-4)+(3x)/(3x-4)) ?
The solution to expand 5(ln(3x-4)+(3x)/(3x-4)) is 5ln(3x-4)+(15x)/(3x-4)