Like AndroidOS, BadaOS is an operating system which has parts of Linux as its base software. Logging is done by the system when specific events occur and for Android extracting the logs is pretty easy based on 3rd party applications available in the market. BadaOS is a different thing because it uses Samsung Apps Store and I performed a search to find a tool which helps you get what you want but the results were not so satisfying meaning that there is no official way of getting the logs out of your phone. One way involves rooting, but it voids your warranty and if it is not done by a professional, you can brick your phone.
