how can I check login history on my macair

not possible.

I found this, but not quite sure it works after testing it.

http://forums.macrumors.com/showthread.php?t=821955

The system logs, readable in Console will have all you need. The difficulty for the novice is wading through a massive amount of extraneous information.

Yes, but this article is writen better for finding that stuff.

http://unix.stackexchange.com/questions/14127/how-to-know-when-and-which-user-lo gged-into-the-system-under-mac-os-x-last-is-n

the "system.log" section towards the bottom left of the console is the easist place to find the key line of info that one might be looking for.

"Jan 11 17:24:17.computername.local loginwindow[72]: in od_principal_for_user(): No authentication authority"