The half life of T4 (which is what I think you are taking since you said levothyroxine) is 5-7 days. That means that as long as you take it at ~ the same time daily, there should always be a similar constant amount of it in your bloodstream. You should not notice it 'wearing off'. T3 (cytomel) is a little different, its half life is only a day, and I do find if I take it too late in the day I will have trouble sleeping. So I take both my T4 and T3 first thing every morning, and have even energy throughout the day.
http://emedicine.medscape.com/article/819692-overview



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