This plugin is outdated and might not be supported anymore
WP Login Logging

WP Login Logging

Details
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Write all login attempts where both username and password are supplied to a log file. The logfile is relative
to error.log and is called ‘login.log’, the format : “TIMESTAMP USERNAME SUCCESS/FAILURE”.

In practice this plugin is a rewritten version of the wp_authenticate_username_password function from user.php and replaces
it in the login process.

Details

Plugin code:
wp-login-logging
Plugin version:
0.5
Outdated:
Yes
WP version:
4.1 or higher
PHP version:
or higher
Test up to WP version:
4.1.41
Total installations:
10
Last updated:
2015-02-16
Rating:
Times rated:
0
authentication
log
logging