This week's book giveaway is in the OCAJP 8 forum. We're giving away four copies of OCA Java SE 8 Programmer I Study Guide and have Edward Finegan & Robert Liguori on-line! See this thread for details.
Tomcat normally logs using juli (java.util.logging). However it is possible to create a Tomcat that uses some other logging facility, such as log4j.
Logging at the server level (webapps do not log through this system) is not a reconfigurable option. It can only be changed by doing a custom Tomcat build, and Tomcat's logging is something that has to come up very early in the startup sequence if it is to be effective. Probably before Tomcat scans the TOMCAT_HOME/lib directory.
An IDE is no substitute for an Intelligent Developer.