FInding domains of ln problems

[name_ask17]

Homework Statement

How do you find the domain of y=ln(6-x) ?

The Attempt at a Solution

do i have to set 6-x greater than or equal to 0 to then get that x is less than or equal to 6, or is there more to it than that? I'm confused on where the ln part comes in. Please assist.

 

[Hells]

There isn't more to it, but you made a mistaking setting it to "or equal to zero", since zero is not in it's domain.
6-x>0 <--> 6>x
can also be written ]-inf;6[

The ln part is why we set condition that it is over 0, we need knowledge of the function to determine that.

 

[name_ask17]

just what i needed. thank you!