I can't get my father-in-laws page off facebook and login to mine

I don't know how to keep it there permanently (most people want to get rid of it) but you can find the People You May Know on the Find Friends page:
Log into Facebook Facebook Facebook

Log out of your account by clicking the down-pointing triangle in the upper-right then clicking "Log Out."

Point your web browser at http://www.facebook.com

If another account comes up, log out of it by clicking the little gear icon in the upper-right then clicking "Log Out."

If you then still can't log in to your account, click the "Forgot your password?" link located just below the password box on the login page.

Log out of his account by clicking the little gear icon in the upper-right then clicking "Log Out."

Clear browser history
delete cookies
remove temporary internet files
Use Reginout cleaner to fix it.

Hi mine is doing exactly the same for the last 2 days. I havnt been able to logout of facebook for 2 weeks or more, it just said facebook was not responding, click kill pages. Which I have been doing, to logout. I wondered if this has caused problem i have now.

Hi,

If you wish the log out of the Facebook account of the person who last used your computer, kindly click the "Account" tab at the top-right of the Facebook page and select "Logout" from the drop-down menu. (See attached image)



Then login to your account by entering your id and password.

Hope this solves your problem. Thanks for using FixYa.

Hi,

To log out of your Facebook account so that your father can login to his account, kindly click the 'Account' tab at the top-right of the Facebook page and then select 'Logout' from the drop-down menu. (See attached image)



Then login to the other account by entering the login id and password of that account.

Hope this solves your problem. Thanks for using FixYa.