Backport of Fix docs for log file name changes into release/1.16.x (#…

…18977)

* backport of commit 541633c

* Fix docs for log file name changes (#18913)

* fix docs

* Update website/content/docs/agent/config/cli-flags.mdx

Co-authored-by: Jeff Boruszak <104028618+boruszak@users.noreply.github.com>

* Update website/content/docs/agent/config/cli-flags.mdx

Co-authored-by: Jeff Boruszak <104028618+boruszak@users.noreply.github.com>

* Update website/content/docs/agent/config/cli-flags.mdx

Co-authored-by: Jeff Boruszak <104028618+boruszak@users.noreply.github.com>

---------

Co-authored-by: Jeff Boruszak <104028618+boruszak@users.noreply.github.com>

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Co-authored-by: absolutelightning <ashesh.vidyut@hashicorp.com>
Co-authored-by: Ashesh Vidyut <134911583+absolutelightning@users.noreply.github.com>
Co-authored-by: Jeff Boruszak <104028618+boruszak@users.noreply.github.com>

website/content/docs/agent/config/cli-flags.mdx

@@ -423,13 +423,15 @@ information.
 ## Log Options
 
 - `-log-file` ((#\_log_file)) - writes all the Consul agent log messages
-  to a file. This value is used as a prefix for the log file name. The current timestamp
-  is appended to the file name. If the value ends in a path separator, `consul-`
+  to a file at the path indicated by this flag. The filename defaults to `consul.log`.
+  When the log file rotates, this value is used as a prefix for the path to the log and the current timestamp is
+  appended to the file name. If the value ends in a path separator, `consul-`
   will be appended to the value. If the file name is missing an extension, `.log`
   is appended. For example, setting `log-file` to `/var/log/` would result in a log
-  file path of `/var/log/consul-{timestamp}.log`. `log-file` can be combined with
-  [`-log-rotate-bytes`](#_log_rotate_bytes) and [-log-rotate-duration](#_log_rotate_duration)
-  for a fine-grained log rotation experience.
+  file path of `/var/log/consul.log`. `log-file` can be combined with
+  [`-log-rotate-bytes`](#_log_rotate_bytes) and [`-log-rotate-duration`](#_log_rotate_duration)
+  for a fine-grained log rotation experience. After rotation, the path and filename take the following form:
+  `/var/log/consul-{timestamp}.log`
 
 - `-log-rotate-bytes` ((#\_log_rotate_bytes)) - to specify the number of
   bytes that should be written to a log before it needs to be rotated. Unless specified,