Verified answer

this is easy...you just need to plug in x values

so for x> 3, plug in values of x that are greater than 3.

log(4-3) = log(1) = 0

log(5-3) = log(2) = 0.301

and so on...

x>0 :

log(1-3) = log(-2) = error = x cannot be 1

log(2-3) = log(-1) = error = x cannot be 2

log(3-3) = log(0) = error = x cannot be 3

log(4-3) = log(1) = 0, but since 1,2,and3 cannot be x, x cannot be x<3

All real numbers:

since 1,2, and 3 are real numbers and x cannot be 1,2 and 3...then x isn't all real numbers

the answer is x>3

If it were just f(x) = log (x), the domain would be x > 0.

The "- 3" shifts the whole graph 3 to the right. So the domain is now x > 3.