LogDog

LogDog - remote log viewer. Instead displaying logs on device it acts as simple web server allowing you to view logs from browser on same network.

Once it is started it will show address it is listening on and you can open it from browser. Service can be stopped by taping LogDog notification.

Android 4.1 and later prevent viewing system logs so there is no much use for this app on devices with Jelly Bean and newer. You can try to give it permission manually from adb :

adb shell pm grant com.logdog android.permission.READ_LOGS