Final answer:
The Alanine Aminotransferase (ALT) test is a specific liver enzyme test for liver disease in dogs, cats, and primates, as it is more liver-specific compared to AST, ALP, and GGT.
Step-by-step explanation:
The specific liver enzyme test for liver disease in dogs, cats, and primates only is Alanine Aminotransferase (ALT). This enzyme test is particularly useful as it is more specific to the liver, unlike Aspartate Aminotransferase (AST) which can also be found in red cells, and cardiac and skeletal muscles. Alkaline Phosphatase (ALP) and Gamma-Glutamyl Transferase (GGT) are not as specific to liver disease in these animals, as ALP is also present in bone and GGT levels may be elevated due to alcohol toxicity or sub-clinical levels of dysfunction.