I am having the same problem.
Logout then Login is not working for my case.
History of my problem.
I installed LR 6/CC from Creative Cloud but it fails to open and while fixing it I uninstall all prevously installed apps (LR, Bridge, Photoshop CC)
Now I able to install/open LR6 but it reverted back to trial version and same issue with other apps.
Adobe Customer Care is pathetic (not possible get direct chat).
No idea how to solve my problem.
I fear to trust to Adobe of loosing my lifetime collection of pics.
Any help is appreciated.
Kindly try the steps mentioned in the link below to serialize Lightroom CC trial to activate as Lightroom 6: