Headphone jack. You are not imagining this. To fix this you put a Y audio splitter on that headphone jack and run one to the headphones and the other to a soundbar.
Yes, I know this is not what you asked but I didn't want to leave you with no solution.
Purchased Artiste Headphones off Amazon. Hooked them up to our Sony Bravia KDL3000 headphone jack and got great sound from headphones but TV is muted and we can find no menu in TV to adjust for this. We want to use these so my husband can use the headphones to amplify sound while I enjoy normal volume from TV speakers. We then hooked the headphones into our Dish Network Hopper and it works fine, just like we want. However, we also have an Amazon Fire unit and it is out of the loop. How do we get the Fire to work too with the headphones? Thanks in advance!