I'm in Michigan and it's definitely not a state wide requirement to log anything. There is a stay-at-home order, but you're free to leave. Today spring sprang in Michigan, it was warm and sunny. Traffic was about double what it's been since the stay-at-home order was issued, and pedestrian traffic was up about 10X what it's been. People walking, biking, playing basketball ball, mingling with their neighbors and petting each others dogs.
There are work place guidelines for Wayne county (Detroit) and Oakland county (adjacent to Detroit) businesses. We have a check in questionnaire before we can get on site. Basically asks if you've had any of the symptoms, have you been in contact with the infected, have you traveled on airplane. Some places scan your temperature but my employer doesn't, but I think they are trying to get infrared sensors to be able to do that.