"No problem" is subjective.
Depends on what you are expecting...if you expect it to handle and drive like it does unloaded then no...it won't be "no problem"...
However, if you understand and expect the Tahoe to handle different, for the motor to work harder and at higher RPM's than unloaded, and if you pay attention to the set up then-yes...no problem.
The biggest single piece of equipment for towing safely is YOU.
If YOU take time to study towing, hitching, matching the trailer to the truck, researching how vehicle performance is imacted by towing (expect half the normal MPG, and expect 1,000 to 2,000 rpm more than normal operating engine speeds...you will be fine.
Thanks!
Jeremiah