My 2007 ACURA RL - after 2k miles the check oil light came on, but there is no evidence of visual leaks, or smoke out of tail pipes. where is the oil going to? how to fix?

Water and vapor (steam) coming from the tail pipe is normal and will stop after a few miles when everything is hot. That is one of the reasons exhausts need replacing as they rot with rust and is more evident on cars that only do low mileage as the exhaust does not get hot enough to boil off the water and it sits in the pipe slowly rusting it away. What you see as smoke is probably steam and is more evident on cold mornings. If the car is not using oil then I wouldn't worry.

Visual test fail is visual white smoke out of the tail pipe?
The engine seems to be burning something it shouldn't, such as coolant, brake fluid, oil. It may have a check engine light on or may not. Give it a leak down test and check for blown gaskets. Look it up in youtube or google it.

Smoke can only be caused by something burning. Only candidates are oil and water. It doesn't take much - maybe even small enough that you won't notice loss over many miles. Check compression on all cylinders. You should see something there.

It could be a problem. Check the underside of the engine. Is there an oil drip? Check especially the area where the engine is bolted to the gearbox (bell housing). If there is a drip, you have leaking main bearing oil seal.
Next check is the vacuum pipe from the intake manifold to the carburettor / air intake and from the manifold to the brake booster. Is there any sign of oil wetness here?
After 200 000 your engine is likely getting slightly worn. Oil in these places around the engine indicates compression blow-by. Another check is, when driving, select a nice downhill where you can take your foot off the accelerator and can run against compression for a while. Look in the mirror when you put your foot down on the accelerator and check for a telltale puff of smoke. This indicates the probability of worn valve stems and seals, which means you're burning oil which shows up as oil loss.
By and large, if you have slight oil loss after almost a quarter of a million miles, don't worry, as long as your car doesn't leak or smoke to the extent where you mess up the environment.

If there is no sign of oil consumption, then you have a leak some where. Un-noticed leaks are usually found at the rear main seal and leak as you are driving. If you crawl under the vehicle and closely inspect the area where the engine block meets the transmission you may find evidence of an oil leak.

is the oil low? If its not leaking, its going out the tail pipe.

more like the valve guides and its burning oil all the time but you dont see it when moving ,204 k and 14yrs old ?? come on its not a new car so ignore and leave well alone

Don't worry I'm sure you will get the solution of your problem, just check the link I attach https://www.reliable-store.com/products/2001-acura-rl-workshop-service-repair-manual

A quart /1000 miles is on the high side for that mileage- something abnormal is causing it.
1) Ensure any motor oil leaks are fixed to ensure they are not contributing to the oil loss.
2) Observe if any blue smoke from exhaust on downhill coast/deceleration - if present it indicates worn valve stem oil seals (these can be replaced relatively cheaply).
3) If blue smoke from exhaust on acceleration the piston rings may be worn- (costly repair).

If you low oil light is not illuminated it is ok to drive to the dealer. Putting 4 quarts in might have overfilled it leaving it to leak overboard on engine. You did not say that the smoke was coming from the tail pipe.