SlugBot can log a multitude of of events within a server. From deleted messages to updated channel permissions.
Use eventlog create to create a new logging channel. You will then be prompted to select all of the relevant events you would like logged.
SlugBot supports any number of logging channels. It can be useful to separate logged events into channels based on their context. A #chat-log logging channel for message deletes and updates, and a separate channel for moderation action logs for example.