It looks like at least some of the entries are already timestamped, here is an example
2012-12-09 06:28:26,041 - softwarecenter.ui.gtk3.app - INFO - software- center-agent finished with status 0 -- You received this bug notification because you are a member of Desktop Packages, which is subscribed to xorg-server in Ubuntu. https://bugs.launchpad.net/bugs/1088343 Title: please timestamp entries in .xsession-errors Status in “xorg-server” package in Ubuntu: New Bug description: Please timestamp log entries made into ~/.xsession-errors, this is very important information. References: bug 285787 http://lists.debian.org/debian-policy/2010/08/msg00043.html To manage notifications about this bug go to: https://bugs.launchpad.net/ubuntu/+source/xorg-server/+bug/1088343/+subscriptions -- Mailing list: https://launchpad.net/~desktop-packages Post to : [email protected] Unsubscribe : https://launchpad.net/~desktop-packages More help : https://help.launchpad.net/ListHelp

