Change the default log facility from LOG_DAEMON to LOG_AUTHPRIV.
diff -urN stunnel/doc/stunnel.html stunnel-4.27/doc/stunnel.html
--- stunnel/doc/stunnel.html	2009-04-16 11:17:26.000000000 +0200
+++ stunnel-4.27/doc/stunnel.html	2009-04-16 18:09:06.000000000 +0200
@@ -189,7 +189,7 @@
 info (6), or debug (7).  All logs for the specified level and
 all levels numerically less than it will be shown.  Use <strong>debug = debug</strong> or
 <strong>debug = 7</strong> for greatest debugging output.  The default is notice (5).</p>
-<p>The syslog facility 'daemon' will be used unless a facility name is supplied.
+<p>The syslog facility 'authpriv' will be used unless a facility name is supplied.
 (Facilities are not supported on Win32.)</p>
 <p>Case is ignored for both facilities and levels.</p>
 </dd>
diff -urN stunnel/doc/stunnel.pod stunnel-4.27/doc/stunnel.pod
--- stunnel/doc/stunnel.pod	2009-04-16 10:38:41.000000000 +0200
+++ stunnel-4.27/doc/stunnel.pod	2009-04-16 18:08:49.000000000 +0200
@@ -139,7 +139,7 @@
 all levels numerically less than it will be shown.  Use B<debug = debug> or
 B<debug = 7> for greatest debugging output.  The default is notice (5).
 
-The syslog facility 'daemon' will be used unless a facility name is supplied.
+The syslog facility 'authpriv' will be used unless a facility name is supplied.
 (Facilities are not supported on Win32.)
 
 Case is ignored for both facilities and levels.
diff -urN stunnel/doc/stunnel.8 stunnel-4.27/doc/stunnel.8
--- stunnel/doc/stunnel.8	2009-04-16 11:17:25.000000000 +0200
+++ stunnel-4.27/doc/stunnel.8	2009-04-16 18:08:49.000000000 +0200
@@ -226,7 +226,7 @@
 all levels numerically less than it will be shown.  Use \fBdebug = debug\fR or
 \&\fBdebug = 7\fR for greatest debugging output.  The default is notice (5).
 .Sp
-The syslog facility 'daemon' will be used unless a facility name is supplied.
+The syslog facility 'authpriv' will be used unless a facility name is supplied.
 (Facilities are not supported on Win32.)
 .Sp
 Case is ignored for both facilities and levels.
diff -urN stunnel/src/options.c stunnel-4.27/src/options.c
--- stunnel/src/options.c	2009-04-16 10:49:20.000000000 +0200
+++ stunnel-4.27/src/options.c	2009-04-16 18:08:49.000000000 +0200
@@ -136,8 +136,12 @@
     case CMD_INIT:
         options.debug_level=5;
 #if !defined (USE_WIN32) && !defined (__vms)
+#if defined(LOG_AUTHPRIV)
+        options.facility=LOG_AUTHPRIV;
+#else
         options.facility=LOG_DAEMON;
 #endif
+#endif
         break;
     case CMD_EXEC:
         if(strcasecmp(opt, "debug"))