Does oxycodone and vicadens show up the same?

Simplistically, 7.5 mg Hydrocodone should provide equal pain relief to 5mg Oxycodone but one must also consider whether there are other drugs such as aspirin or acetominophen included as these increase the pain relief provided by both these agents.

Having said this, one also must consider that all drugs work slightly differently on different people and linear equations such as "this much of A equals that much of B" is only a comment that refers to the majority effect in a Bell curve.