Can not start mongodb service with homebrew

After following the tutorial in the official doc, I download the mongodb-community@5.0 with homebrew.
But when I use brew services start mongodb-community@5.0, the command line remind me that the service is started successfully. But when I use command brew services list to check the status of the mongodb services, the result is shown below:
CleanShot 2023-11-12 at 17.11.38
Is there any tips for me to resolve the problem please? Thanks

Check mongod.log.It may give more details
How did you start mongod?
You should not run it as root user
Error 3584 could be due to wrong permissions/ownership of tmp/sock file
Check our forum threads.You will get more details on how to fix permission issues

I use homebrew to start mongod service.
You are right, it is the homebrew permission that cause this problem.
I have resolve it!
Thank u so much! :blush: