I've heard that you???re supposed to be able to get at the server logs via REST. I???m not sure where in the REST API that is? There isn???t much in Admin. Any ideas?
You should be able to access the logs in the ArcGIS Server Manager (http://machinename:6080/arcgis/manager). Login to the manager and click on the Logs link on top right section of the page.
The reference to accessing logs via REST is to the Admin api (http://machinename:6080/arcgis/admin). Since the logs are available/configurable via Manager for most cases, it will not be necessary to use the Admin api directly to access the logs.