I made a cake with eggs that were left out. im not sure how long they have been out. maybe more than a few days....are we going to get sick from eating that cake?????

No risk, no worry: Refrigeration is not needed. Intact eggs (no cracked shells) remain safe at room temperature. Some egg producers recommend eggs never be refrigerated, and in most European countries they are stored and sold at room temperature. But once refrigerated, they should not return to room temperature: water condensation ("sweating") raises risk of bacterial contamination, but only a little bit.