Edit:
The answer is so clear. One may use the flag --user root when entering the container.
docker exec -it --user root mycontainername bash                 or sh
I just downloaded this official docker hub's 1.5.0-alpine image for a service (Kong API Gateway) and now I can not run apk commands to install nano, for instance.
Before, I just had to enter the container
docker exec -it kong sh 
or
docker-compose exec kong sh
and I was able to run commands like apk update or apk add nano, for instance. 
But now I get these errors
$ apk update                                                                                                                                   
ERROR: Unable to lock database: Permission denied                                                                                                
ERROR: Failed to open apk database: Permission denied
$ apk add nano
ERROR: Unable to lock database: Permission denied
ERROR: Failed to open apk database: Permission denied
I also tried to run sudo and su... but I got
$ su
su: must be suid to work properly
$ su root
su: must be suid to work properly
$ suid
sh: suid: not found
Will I really need to build my own custom image? I was using the official one and it was working fine.