What is expand 1/6 (8ln(2)+15/2 ln(3)) ?

The solution to expand 1/6 (8ln(2)+15/2 ln(3)) is 4/3 ln(2)+(5ln(3))/4

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expand 1/6 (8ln(2)+15/2 ln(3))

expand

\frac{1}{6} (8 ln (2) + \frac{15}{2} ln (3))

\frac{4}{3} ln (2) + \frac{5 ln ( 3 )}{4}

Solution steps

\frac{1}{6} (8 ln (2) + \frac{15}{2} ln (3))

Apply the distributive law:

a (b + c) = ab + a c

a = \frac{1}{6}, b = 8 ln (2), c = \frac{15}{2} ln (3)

= \frac{1}{6} \cdot 8 ln (2) + \frac{1}{6} \cdot \frac{15}{2} ln (3)

= 8 \cdot \frac{1}{6} ln (2) + \frac{1}{6} \cdot \frac{15}{2} ln (3)

Simplify

8 \cdot \frac{1}{6} ln (2) + \frac{1}{6} \cdot \frac{15}{2} ln (3) : \frac{4}{3} ln (2) + \frac{5 ln ( 3 )}{4}

= \frac{4}{3} ln (2) + \frac{5 ln ( 3 )}{4}

(x^{2} + 1) cos (x)

lo g_{10} (2) (7 x + 8) 3

3 (1 + 2)

\frac{( x + 1 ) ^{2}}{x + 2}

d i s t r ib u t i v a (15 - 2 x) (9 - 2 x) (x)

What is expand 1/6 (8ln(2)+15/2 ln(3)) ?
The solution to expand 1/6 (8ln(2)+15/2 ln(3)) is 4/3 ln(2)+(5ln(3))/4