Question

4(ln(4))-4(ln(1))The answer is 8ln(2) but I don’t know why. I would like to understand the process.

Answer 1

Answer:$4(\ln (4))-4(\ln (1))=8\ln (2)$

Explanation:

Given the expression:

$4(\ln (4))-4(\ln (1))$

ln(1) = 0

So, what we have left is

$4\ln (4)$

This can be written as:

$\begin{gathered} 4\ln (2^2) \\ =4\times2\ln (2) \\ =8\ln (2) \end{gathered}$