What is the domain of the function?

Hello from MrBillDoesMath!
Answer:
x < 3
Discussion:
Generally, the domain of log(m) is m >0. In our case this means
(-x + 3 )/2 > 0 => (multiply both sides by 2)
-x + 3 > 0 => ( add x to both sides)
x-x + 3 > x =>
3 > x
Thank you,
MrB