You're right in principle to look for log files, but in the case of The Sims 3 these seem to be made for game developers rather than anyone who'll be running the final game. So most of the time they are useless in your situation.
The reason for the crash is described here:
Code:
type: ACCESS_VIOLATION reading address 0x00000007
address: 0x00c3d3db "C:\Program Files\EA Games\The Sims 3\Game\Bin\TS3.exe":0x0001:0x0083c3db
which, as an end user, pretty much tells us that the problem is in The Sims... What this address pointed to at the time of the crash is not something you can relate to anything unless you were running debugging tools at the time of the crash, I believe.
Imo you need to look for an alternative method to diagnose your game crashing, I'm afraid.