Once the logbook is approved, it won't show on the logbook itself.
As an admin/manager user, to see if a logbook has been approved:
In People HR, go to Authorisations tab.
Select Logbooks then click on Quick Filters.
Select Decided then click on the relevant logbook request.
As an employee user, to see if a logbook has been approved:
In People HR, go to Authorisations tab.
Select Logbooks then click on Quick Filters.
Select My Requests then click on the relevant logbook request.
πNote: Declining a logbook request will delete the logbook entry, and users have to add the logbook again.