Lumberjack is a useful application for application developers, Android custom rom developers and users alike.
This will allow you to see the live logs on your device, but also gives you the option to export the files to your favourite application such as Gmail or Dropbox.
Unlike similar applications, this was designed with Honeycomb and Ice Cream Sandwich tablets and phones in mind.
Logs this application displays & exports:
* Logcat (main & system)
* Events Logcat
* Radio Logcat
* /system contents
* Loaded modules
* Mounted filesystems
Note: this application is for Honecomb and Ice Cream Sandwich devices ONLY.