The reason is if for instance you access your account via a public computer or you use a friend device to log in to your Facebook account if you don’t log out, they will stumble on your account first. And you definite aware of the consequences. See: View Blocked List On Facebook Messenger | How do I unblock someone in Messenger?
To log out from your current device, simply click on the V-like drop down and select “Logout” at the top right-hand corner of your Facebook page.
That is how to log out of your Facebook on your computer.
How about Advance Facebook Logout Process
If you hover about Facebook, you’ll discover that the “Where You’re Logged In” section of your Security and Login Settings shows you a list of devices and browsers that have been used to log in to your Facebook account recently. See: Where do I see all the people I’ve blocked on Facebook?
Interestingly, each entry includes the date, time and approximate location when logging in, as well as the type of device used to access your account.
To log out of Facebook on another computer, phone or tablet:
– Click the V-shape icon at the top right of any Facebook page
– Click Settings from the drop-down menu
– Click Security and Login Settings in the left column of the page that appears
– Click on the Where You’re Logged In section
– Find the session you want to end and click End Activity
Clicking End Activity will immediately log you off of Facebook on that computer, phone or tablet.
How Can I Logout of My Account On Facebook?