Text files show time, lat, long, and a bunch of other values, result of a month-long trip thru New Zealand.
Would really like to get them into AGO or ArcMap.
If you delete the first row, and convert the .LOG to a .CSV file, you can add the CSV file to a web map. Here is a lesson that discusses these steps:
Add a layer from a CSV file—Get Started with Map Viewer | ArcGIS