Earlier this week, comments made by Logan star Hugh Jackman made their way around the web, sparking a panic that the film would be set in an alternate universe than the rest of the X-Men films. Bleeding Cool's own headline on the subject was uncharacteristically more restrained than many, stating that it would be a "slightly different" universe, quoting Jackman's statement:
When you see the full movie you'll understand. Not only is it different in terms of timeline and tone, it's a slightly different universe. It's actually a different paradigm and that will become clear.
However, director James Mangold has addressed the masses, attempting to quell fears and set the record straight. While it would be impossible to reconcile the overall timeline of all the X-Men films, Mangold did explicitly reveal that the film takes place in 2029, five years after the events of Days of Future Past:
So there you have it. Logan is in continuity, or at least whatever passes for continuity in the X-Men movieverse. But hey, if you think that's bad, you should try making sense of the comics!