Please read my instructions carefully, or I can't really help you any further! You do
not need the live CD, drop it now as you are confusing matters.
Have you another PC on your (internal) network? If so, (now read and execute these instructions carefully, don't just jump to conclusions, and keep your damn hands off that damn live cd!
)
On your PC, Google "putty download" -> download and install putty.
Start putty and point it at 192.168.80.1, accept the cypto question, it will connect to your core
Now login as user:linuxmce password:linuxmce
Now you have access to the log file.
If you do not have another PC, reboot your core after the "failure" and when it starts up again,
wait for the BIOS to finish its Power On Self Test (POST), then you will see a message that GRUB is loading with a countdown of about 3 seconds.
Hit ESC and choose the recovery console. This will give you a command line that you can access the log file through.
From a linux command line you can use the "less" command to display a text file:
less /var/log/Xorg.0.log