The Log of Love is treasure that can be obtained in the episode Braverobber in Sly Cooper: Age of Theives. It is worth 299 coins, and the time needed to reach the safehouse is thirty seconds.
"This log was once a part of a tree that Slaigh and his first love once rested under one day. A plague took her away from him, so in memory of his lover, Slaigh cut the tree down and kept the log with their names on it. Le Dude will pay for stealing it from him..."
It is located at the western side of the loch, protected by a gate that is only accessible via an RC Car pressing a button inside the chamber the gate is closing off. Penelope is the only character that can collect this treasure.