Question

Expand: In (4a)3


3 ln 4 + ln a

3 ln 4 - 3 ln a

3 ln 4 + 3 ln a

Answer 1

Interpret expression as ln((4a)^3). Use log rules:

ln((4a)^3) = 3 ln(4a) = 3(ln 4 + ln a) = 3 ln 4 + 3 ln a.

So the correct expansion is 3 ln 4 + 3 ln a.