How to access the error log
There are all kinds of ways to view those error logs. All those ways require some kind of configuration by a person with access to shells (that is, ssh access) on the Ubuntu host.

Your best bet is to ask the person who controls that host for help.

Unless things are horribly goofed up (that's a technical term -:) in your MySql server, you can get enough, or almost  enough, troubleshooting information from the errors MySql gives your applications.