Ah, just adb logcat should work. You may need to do an explicit path if the Android SDK tools directories aren't in your PATH, but that should do it.
adb logcat
If you have NPM, you could install module:
$ npm install -g logcat
that will provide you to start monitoring colored logcat in console and //127.0.0.1/.
$ logcat
Here is description
In Terminal Emulator:
logcat > /sdcard/logfile.txt
This will put the logcat content in /sdcard/logfile.txt (your sd card main directory) obviously.Source (with more ways to acquire logcat):
/sdcard/logfile.txt