913 - ESE: Incomplete logs with error "Backup logging could not be completed"

Symptom

Backup and restore logging in the Enterprise Server Edition (ESE) backup client appears incomplete and the Management Console displays the following errors for the account in question:

Error: <GROUP>\<ACCOUNT> - Backup Client reported: Backup logging could not be completed
Error: <GROUP>\<ACCOUNT> - Restore Client reported: Backup logging could not be completed

Cause

The disk of the logging folder has run out of space.

Solution

A. Free up disk space:

1. Identify the destination folder of the logs. (The setting is located under Tools > Options and Settings > Logging in your ESE client.)

2. Free up disk space on the logging location.

B. Change the logging folder:

In the Logging tab just mentioned, change the path used for the backup logs to an alternative location.