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You are not the root user (and therefore do not have access to blkid), but you want to determine were a particular disk or partition is mounted. You know it is a particular disk, because you have the UUID, which is the quasi-unique identifier for the disk:
mount | grep `readlink -f /dev/disk/by-uuid/xxxxxxxxxxxxxxx` | cut -d ' ' -f 3
Replace the x's with the UUID.