Learners & experts of evidence-based badges each have their own progress log (often just called their "log"). For manually-awarded badges the log is referred to as their "Badge Profile" and doesn't contain any evidence.
A user's progress log for a badge is always located at a URL of the form /group/badge/u/username. The progress log shows all of the evidence that the user has posted and serves as the permanent record of their achievement once they are awarded the badge.
For more information...
Refer to #badge-requirements