Hello...I'd like to help here, as many of the responses might have given you incorrect information. I am an engineer, car enthusiast and avid BMW driver/fan - and I have done a ton of research on synthetic oil.
-Synthetic oil will NOT "burn" more readily than non-synthetic oil (dino oil); in fact, synthetics generally burn less since they have significantly higher flash points and lower volatility. Oil burns when it catches fire or evaporates on the cylinder walls during combustion; synthetics have much higher ignition and evaporation points, even in the low viscosity numbers like 0W-30 and 5W-30.
-Synthetic oil will not leak more than dino oil of the same viscosity, it has equivalent seal swell rates compared to dino oil. If the leak was there before, synthetics will not make it better, nor make it worse
-The viscosity numbers (like 5W-30, etc) have the same meaning as in dino oil...so 5W-30 synthetic is just as thin/thick as 5W-30 dino oil, but synthetics will HOLD their viscosity better than dino oils. After use, the actual viscosity of 5W-30 dino oil may end up being "8W-28" where synthetic will likely remain 5W-30 for the entire drain interval
-No matter what condition your car's engine is in, synthetics will always be a better bet than dino oil. After doing my research, I'll never use dino oil again. Old, used synthetic oil is better for your car than brand new dino oil in virtually every important characteristic.
-If your engine is worn, you should generally select higher viscosities. So, you may want to use a 10W-30, or even a 20W-50 on an old engine. If you run 20W-50, be careful not to race the engine or drive agressively until the engine is warm, as high revs may tear the thicker oil film and result in engine damage. This is especially true with dino 20W-50 - I'd totally avoid anything but synthetic for this case
-All of the data that I have read points to these brands of synthetic as the best choices of brand and type. Amsoil=best; Redline=excellent; Mobil 1=very good. All synthetics are leaps and bounds above regular dino oil.
-EVERY BMW should be running synthetic! We are drivers of cars that love to be "driven" so we need the extra protection of the best oils available!
If anyone has questions or wants more detail on WHY these points are true, I'd be happy to provide the data, research contacts, etc.
Have a great day all!