If you look to the upper right of your Logcat pane in Android Studio, you will see a dropdown pane that says 'Show only selected application'. This refers to the package and pid selected in the dropdown pane to the right of the device dropdown on the top left of the Logcat tool window. You can change the right dropdown to 'no filters' or a custom filter config with multiple process IDs.
You could also try wrapping calls made into your library in try/catch blocks, then throw exceptions instead of simply logging them from your library. If all else fails and you can't figure out how to adjust the filter Android Studio uses, that should get the message into your application name space and PID for logging... You could also start verbose logcat from terminal and it won't have any of the filter Android Studio puts on top getting in your way. Just start piping the output to a file from terminal with adb logcat -v > output.log
right as you start to test whatever you need logging on.
Also, I recommended changing the filter from "Show only selected application" to "No Filters" because that is how they label the selections in Studios logcat filter menu. This does not mean show logging only from other applications. This means do not filter logging to only show logs from the namespace of the the package being installed (i.e. com.example.my), but instead show logging from any package name including that of the library in use in the project. Logcat is a broad standalone service of ADB and AS does not know to include package logs solely because said package is in the project view.