Question

How do you prove that `(1/2)(ln2 - ln4 + ln3) = (1/2)ln(3/2)`?

Answer 1

In the bracket with `(ln2-ln4+ln3)` you can apply the following general rules of the logarithms:

1) `lna+lnb=ln(a*b)`

2) `lna-lnb=ln(a/b)`

and you should be able to get your result.