Lighttpd have an access log module, but it’s disabled by default.

Activate access log
To activate it, you have to modify the configuration file:
“/etc/lighttpd/lighttpd.conf”

Where you have to activate the mod_accesslog module:

…
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And define the access log path, exemple:

 accesslog.filename             = “/var/log/lighttpd/access.log”

Reading the log
The log will be written in the defined file. Every week, the file will be saved as “access.log.2.gz” and a new “access.log” file will be created.