There is no visible (to me) button for logging out. How to do so? This is an attempt to comply with François Dorais' request.
2$\begingroup$ There is no way to log out. This site is the $\aleph_0$-th circle of Dante's inferno. $\endgroup$– Asaf Karagila ModDec 8, 2015 at 11:57
$\begingroup$ You can look here to see how to logout in the current user interface: How to log out of a Stack Exchange site? $\endgroup$– Martin SleziakDec 25, 2018 at 6:43
1$\begingroup$ As a long-time user who now visits only occasionally, I want to echo the criticism implicit in the question. Logging out shouldn't be hard! I spent ages trying to do it the other day, with growing frustration. Why on earth is the log-out link hidden under the stripey-speech-bubble icon that gives you a list of Stackexchange sites? Why not have an actual "log out" button visible at all times- say in the left-hand margin, where (for me at least) there's loads of blank space? It reminds me of those jokes about the legendary difficulty of exiting vim $\endgroup$– Tom LeinsterDec 25, 2018 at 17:30
$\begingroup$ I wonder whether in the light of the recent (comment posted as an) answer it might be useful to add here a screenshot to the new user interface or at least mention that now users should search on the right - perhaps with adding a link to the relevant post on Meta Stack Exchange: How to log out of a Stack Exchange site? $\endgroup$ Dec 25, 2018 at 7:03
François G. Dorais answered how to log out from this site. I want to mention a complementary point that is not strictly related to this site, yet I feel it can be quite relevant in practice.
There is the following asymmetry:
Logging in to MO via Goggle, will be a login on one's Google account.
Logging out from MO however, will not logout from Google.
Thus, usually one needs to logout from Google separately. In particular, if one does not, clicking "login" on MO and then the "Google" button will login to MO without the need for a password.
I used Google as a common example, but it should not be only relevant for Google (yet I do not know the details of all the identity-providers).
If one is in an environment where one stays logged in to Google, usually there should be no need to logout from MO either.
Conversely if one is an environment where one will want to logout after finishing the session. It can make sense to start the session in "private" mode in the browser. Then, at the end just closing the browser will also close the session on MO (and Google).
Right now (December 2018), the answer is: there is a striped "speech balloon" icon on the top right of the page, and clicking it will reveal a menu with a "log out" link.
I imagine the answer to this question may continue to change over time, as Stack Exchange continues to redesign the user interface. The current answer can be found at this page: How to log out of a Stack Exchange site? and I hope it will continue to be maintained.