If you are interested in reviewing the details of the individual entries before approving them, you should use the Detailed view.
To be able to approve time logs in this view, you need to show pending and rejected time logs first and include the 'Approval status' column in your view. Here's how:
You can then approve/reject time logs one by one by using thumb up/thumb down, or if you select multiple logs, you can approve/reject them in bulk with the buttons on top:
To show only the Approved, Rejected, Pending, or Unsupervised time logs, you can filter the time logs by 'Status':
*** If you can't see the 'Status' filter, please add the 'Approval status' column to the view first and the filter will become available.
The 'Unsupervised' category will show you the logs that were entered on projects that do not require approval or by Users whose logs do not require approval.