Jim,
The apache commons project allows you a choice. So, you can use a single API for your logging.
I believe there is a strong base of log4j users since it was established before the JDK 1.4 Logging API. I know one of our developers indicated he thought log4j was better.
I would think it will mostly depend on your needs to use the standard consultant answer.
You might check out the book:
"Logging in Java with the JDK 1.4 Logging API and Apache log4j" by Samudra Gupta.
Cheers,
Mike