This is not possible with the log work feature - you have to click the log work transition and log each users work separately. However, I beleive this feature is avialable for Tempo, which we do support with JIRA:
Badges are a great way to show off community activity, whether you’re a newbie or a Champion.Learn more
Connect with like-minded Atlassian users at free events near you!Find a group
Connect with like-minded Atlassian users at free events near you!
Unfortunately there are no AUG chapters near you at the moment.Start an AUG