To activate logging for the Encounters mod please do the following...

#1 Create the folder in the following location
<drive>:\Users\<user>\Documents\Egosoft\X4\<numeric>\logs\encounters

#2 Right click "X4 Foundations" in your STEAM Library and navigate to
Properties > General > Launch Options

#3 Add the following launch option qualifiers
-debug all -logfile x4.log -scriptlogfiles

Content will appear in the file "encounters.txt" within the folder shown in Step #1.

NOTE : Please note that this also adds the X4 logging.