It's actually in /Library/Logs (from root). To view the file, you could use vi or head from the command line (among many others). BBEdit might be able to view. When the file is that large, though, it leaves practically no space for the swap file on the system making the system very, very slow. It's usually forcing the user to force quit applications to allocate memory. In that EyeConnect is their server task, I have little doubt that it's theirs.