How to log all DNS requests made through OpenWRT router?

How to log all DNS requests made through OpenWRT router?

I have an OpenWRT router that is running dnsmasq. I want to create a file
that has each domain that has been requested through the router. My output
should looks something like this:
google.com
cnn.com
wikipedia.com
news.google.com
gmail.com
Ideally there wouldn't be any duplicates. I could probably setup a cron
job that would remove duplicates if necessary. Right now I'm trying to
figure out a good way to log them. I looked at the options for dnsmasq. I
found the following options:
-q, --log-queries Log DNS queries.
-8, --log-facility=<facilty>|<file> Log to this syslog facility or
file. (defaults to DAEMON)
--log-dhcp Extra logging for DHCP.
--log-async[=<integer>] Enable async. logging; optionally set
queue length.
On OpenWRT these settings seem to be buried in the /etc/init.d/dnsmasq
file. I tried setting them without any luck. :-( Is there an easier way to
accomplish my goal?
Ah! With a little hackery I was able to get it to write to a log file.
However, it doesn't have the data I need to create this list. Maybe
dnsmasq can't do what I want it to?