Full synthetic vs semi vs conventional
Full synthetic: 7,500 to 10,000 miles between changes for most modern engines. Semi-synthetic: 5,000 to 7,500. Conventional: 3,000 to 5,000, and almost no modern engine spec calls for it anymore. Your owner's manual is the truth. The 'every 3,000 miles' shop sticker is from the 1990s and is wrong on almost any car built after 2010.
