From the Player page, click the Export Songs icon next to the Search box.
In the dialogue box, choose the dates for the report. Then in the Export box, select Chronological for a music log or Most Played song playlist.
If exporting a most played log, a prompt will ask if you'd like to sort the results by week. This allows you to track changes in airplay during the chosen date range.
Finally, click Export and choose a location for the file.