I think the output is by default mailed to root.
That only happens if the command run by cron sends output to STDOUT or STDERR and they haven't been redirected somewhere else (/dev/null is a popular choice :-) because cron doesn't know what else to do with it. That's not the problem here at the OP is redirecting both handles to /tmp/test.txt.
Cheers,
JohnGG
In reply to Re^2: System command from crontab
by johngg
in thread System command from crontab
by adismaug
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