Answer:
The Domain is x < 3
Step-by-step explanation:
We know that ln(x) is defined for all real numbers that are greater than zero, or x > 0.
Knowing that we must make the inside of ln(x) greater than 0 so:
[tex]\frac{-x+3}{2} > 0[/tex]
Multiply both sides by 2:
[tex]-x+3>0[/tex]
Add x to both sides:
[tex]3 > x[/tex] or [tex]x <3[/tex]
