I found the same error in the application log on my local workstation while trying to start the SQL agent.
The SQLAGENT.OUT file did not exist in the log path mentioned in the earlier answer. I wondered if the service account for the agent had access to this log folder ...
I tried adding the "NT Service ..." service account to the list of approved users for this folder. No joy - could not see the account in the list of users on the workstation.
So, I changed the SQL Agent service account to match the SQL Server service. Bingo! The agent is started and the SQLAGENT.OUT file appears in the log folder.
Do not worry too much about any security issues related to the service accounts being the same for both engines and agents, as this is my local workstation ...
Simonb
source share