$ sudo grep "authorization successful" /var/log/ppps.log|grep ^MarMar 1 03:46:52 router ppp[52767]: [opt1_link0] LCP: authorization successfulMar 1 03:54:25 router ppp[52767]: [opt1_link0] LCP: authorization successfulMar 2 18:09:07 router ppp[52767]: [opt1_link0] LCP: authorization successfulMar 5 02:09:34 router ppp[52767]: [opt1_link0] LCP: authorization successful