I need help on my math again, if possible. We're doing logarithms now, and I am confused about one problem in particular.
log(1-x)-log(1+x)=2; we're supposed to solve exactly for x. Well, when I did it, I got -50, but then my calc said that was a non real answer, so is this a trick question, or did I just do it wrong (I usually do). Here is what I did:

log(1-x)-log(1+x)=2
(1-x)-(1+x)=10^2
(1-x)-(1+x)=100
1-x-1-x=100
-2x=100
x=-50
Now, even when I tried x=50, it still said non real answer, so can this question be solved? I'm confused. Thanks for any and all help. Have a great day