How to programmatically log PerformanceCounter

I understand that using Perfmon.msc you can create a custom performance counter and by using counter log, you can write the counter value to a text file.

I also understand I can also use this programmatically by creating a performance counter by using System.Diagnostics.PerformanceCounter, and get the counter value using NextValue() method. Is there a programmatical way to tell the PerformanceCounter object to write the log to a text file too (similar to Counter Log in perfmon.msc)?