How to see full log from systemctl status service?

Just use the journalctl command, as in:

journalctl -u service-name.service

Or, to see only log messages for the current boot:

journalctl -u service-name.service -b

For things named <something>.service, you can actually just use <something>, as in:

journalctl -u service-name

But for other sorts of units (sockets, targets, timers, etc), you need to be explicit.

In the above commands, the -u flag is short for --unit, and specifies the name of the unit in which you're interested. -b is short for --boot, and restricts the output to only the current boot so that you don't see lots of older messages. See the journalctl man page for more information.

systemctl can include the complete output of its status listing, without truncation., by adding the -l flag:

systemctl -l status service-name

-l: don't truncate entries with ellipses (...)

--no-pager can be added to avoid invoking a pager when the output is an interactive terminal.

Use journalctl to View Your System's Logs

View journalctl without PagingPermalink To send your logs to standard output and avoid paging them, use the --no-pager option:

journalctl --no-pager

It’s not recommended that you do this without first filtering down the number of logs shown.

journalctl -u service-name.service

Show Logs within a Time RangePermalink Use the --since option to show logs after a specified date and time:

journalctl --since "2018-08-30 14:10:10"

Use the --until option to show logs up to a specified date and time:

journalctl --until "2018-09-02 12:05:50"

Combine these to show logs between the two times:

journalctl --since "2018-08-30 14:10:10" --until "2018-09-02 12:05:50"

More info