DroidLogViewer

log file viewer

with this tool, you can:
watch the system log information;
save/ email the system log file;
type/buffer/level/tag filter the log information;
look and feel settings.

Screenshots: 

Application Permissions:

Read logs- Allows an application to read the low-level system log files.

Internet- Allows applications to open network sockets.

Write external storage- Allows an application to write to external storage

Read phone state- Allows read only access to phone state.

You can download at: http://apk.cuaban.net/detail/10889/DroidLogViewer.html