I'm able to export the project log and it has all the logs as expected.
I'm using EG 8.4 Update 2.
Click "More Options" (see first highlighted image below),
then click Properties, then select "Turn on project log"
Once you turn on project log, then run some code/tasks,
then, from a Log or Code window choose Share > Log > Export as a step in project,
from there you have the option to select the Project Log (see second image below).
Let me know if you wanted something different or if these steps don't work for you.
Regards,
Bill

