您之前应该是关闭了logging，logging on命令是重新开启logging。
To re-enable message logging after it has been disabled, use the logging on global configuration command.
看您的配置中，关于logging的配置有如下：
archive
log config
logging enable
notify syslog contenttype plaintext
hidekeys
是开启了配置更改的logging记录，如果有配置更改，logging中会记录下来（前提是logging开启），具体可以参考示例说明：
https://www.cnblogs.com/MomentsLee/p/10162865.html
官方的配置示例：
Switch(config)# archive
Switch(config-archive)# log config
Switch(config-archive-log-cfg)# logging enable
Switch(config-archive-log-cfg)# logging size 500
Switch(config-archive-log-cfg)# end
第二个就是logging日志本身配置，
logging trap debugging
logging source-interface Vlan10
logging 172.16.90.3
限制记录到系统日志服务器的消息，这里是debugging级别的。然后以VLAN10为源发送logging，发送的目的地址为172.16.90.3。
关于2960默认的logging配置。
Feature Default Setting
System message logging to the console | Enabled. |
Console severity | Debugging (and numerically lower levels; see Table 1-3). |
Logging file configuration | No filename specified. |
Logging buffer size | 4096 bytes. |
Logging history size | 1 message. |
Time stamps | Disabled. |
Synchronous logging | Disabled. |
Logging server | Disabled. |
Syslog server IP address | None configured. |
Configuration change logger | Disabled |
Server facility | Local7 (see Table 1-4). |
Server severity | Informational (and numerically lower levels; see Table 1-3). |
如下是实际的一个配置示例：
archive
log config
logging enable
notify syslog
hidekeys
service timestamps debug datetime msec
service timestamps log datetime msec
logging userinfo
logging buffered 8192 debugging
!
line con 0
privilege level 15
logging synchronous
!
line vty 0 4
password cisco
logging synchronous
login
如果需要配置logging destination，也可以添加命令（这里也验证了archive的命令记录了命令修改的logging）
SW(config)#logging trap debugging
SW(config)#loggin
SW(config)#logging
*Mar 1 00:14:15.591: %PARSER-5-CFGLOG_LOGGEDCMD: User:console logged command:logging trap debugging
SW(config)#logging 1.2.3.4
SW(config)#
*Mar 1 00:14:24.899: %PARSER-5-CFGLOG_LOGGEDCMD: User:console logged command:logging 1.2.3.4
SW(config)#
*Mar 1 00:14:25.899: %SYS-6-LOGGINGHOST_STARTSTOP: Logging to host 1.2.3.4 started - CLI initiated
使用另外一台设备登录该SW：
Router#telnet 12.1.1.2
Trying 12.1.1.2 ... Open
User Access Verification
Password:
SW>en
Password:
SW#
SW#show logging
Syslog logging: enabled (11 messages dropped, 0 messages rate-limited,
0 flushes, 0 overruns, xml disabled, filtering disabled)
Console logging: level debugging, 44 messages logged, xml disabled,
filtering disabled
Monitor logging: level debugging, 0 messages logged, xml disabled,
filtering disabled
Buffer logging: level debugging, 16 messages logged, xml disabled,
filtering disabled
Logging Exception size (4096 bytes)
Count and timestamp logging messages: disabled
No active filter modules.
Trap logging: level debugging, 47 message lines logged
Logging to 1.2.3.4(global) (udp port 514, audit disabled, link up), 4 message lines logged, xml disabled,
filtering disabled
Log Buffer (8192 bytes):
*Mar 1 00:03:13.051: %PARSER-5-CFGLOG_LOGGEDCMD: User:console logged command:logging buffered 8192
*Mar 1 00:03:13.847: %SYS-5-CONFIG_I: Configured from console by console
*Mar 1 00:03:22.111: %PARSER-5-CFGLOG_LOGGEDCMD: User:console logged command:interface l0
*Mar 1 00:03:23.079: %LINEPROTO-5-UPDOWN: Line protocol on Interface Loopback0, changed state to up
*Mar 1 00:03:27.279: %PARSER-5-CFGLOG_LOGGEDCMD: User:console logged command:ip address 10.10.10.10 255.255.255.255
*Mar 1 00:03:27.803: %SYS-5-CONFIG_I: Configured from console by console
*Mar 1 00:03:37.727: %PARSER-5-CFGLOG_LOGGEDCMD: User:unknown user logged command:!exec: enable
*Mar 1 00:09:24.091: %PARSER-5-CFGLOG_LOGGEDCMD: User:console logged command:logging userinfo
*Mar 1 00:09:25.003: %SYS-5-CONFIG_I: Configured from console by console
*Mar 1 00:09:40.703: %SYS-5-PRIV_AUTH_PASS: Privilege level set to 15 by unknown on vty0 (12.1.1.1)
*Mar 1 00:09:40.707: %PARSER-5-CFGLOG_LOGGEDCMD: User:unknown user logged command:!exec: enable
*Mar 1 00:14:15.591: %PARSER-5-CFGLOG_LOGGEDCMD: User:console logged command:logging trap debugging
*Mar 1 00:14:24.899: %PARSER-5-CFGLOG_LOGGEDCMD: User:console logged command:logging 1.2.3.4
*Mar 1 00:14:25.899: %SYS-6-LOGGINGHOST_STARTSTOP: Logging to host 1.2.3.4 started - CLI initiated
*Mar 1 00:17:21.683: %SYS-5-PRIV_AUTH_PASS: Privilege level set to 15 by unknown on vty0 (12.1.1.1)
*Mar 1 00:17:21.687: %PARSER-5-CFGLOG_LOGGEDCMD: User:unknown user logged command:!exec: enable
官方文档：
https://www.cisco.com/c/en/us/td/docs/switches/lan/catalyst2960/software/release/12-2_55_se/configuration/guide/scg_2960/swlog.html#41240
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