What are the normal levels for tsh, t4 and t3 (liothyronine) for a young man?

Some controversy: Most labs use the reference range of 0.5 - 4.70 or 5.0 miu/l for "normal". However, the american association of clinical endocrinologists (hormone specialists) recommends a narrower range: 0.3 - 3.0 your doc can advise you which reference range s/he follows. T3 (liothyronine) (total): 80-200 ng/dl; T4 (total): 4.5-12.5 µg (micrograms)/dl; T4 (free): 0.8-1.8 ng/l.

Depends on lab: Different labs have different reference ranges for normal. You could ask to see your results which will be given to you along with the normal reference range.