package sample;

public class StopLoggingServletContextListener implements ServletContextListener {

    @Override
    public void contextInitialized(ServletContextEvent servletContextEvent) {
    }

    @Override
    public void contextDestroyed(ServletContextEvent servletContextEvent) {
       LoggerContext loggerContext = (LoggerContext) LoggerFactory.getILoggerFactory();
       loggerContext.stop();
    }
}

<listener>
  <listener-class>sample.StopLoggingServletContextListener</listener-class>
</listener>