You can do that from within the program. On the left, you should see Spybot-S&D, Settings, Tools and Info & License. Click on Tools, View Report is the first one.
I know it's scary, but I've never cared enough about the logs to look for them.
I just let Spybot take care of the "hosts" file, ("Immunize"), and control startup programs. Then I let the real security programs do the dirty work. :haha:
Don't know how SpywareBlaster works, but Spybot immunize by adding entries of bad web sites to the host file so that you can't connect to them. If SB works similarly then I suppose you don't need to use the immunize feature.