Hi all. I'm having difficulty seeing how my solution to a problem is wrong. Here it is, along with my attempt:

log(2x+1) = 1-log(x-1)

log(2x+1) + log(x-1) = 1

log((2x+1)(x-1)) = 1

log(2x^2-x-1) = 1

2x^2-x-1 = 10

(2x+1)(x-1)=10

2x=9, x=9/2

x=11

I'm sure it's a case of "oh, duh." :P Thanks in advance...