Imessage does it show on your text log for verzion?

Hello I'm wondering if I'm using imessage, will it show up on my text log who, when, and how many times I'm sending text messages because my girlfriend text me from her ipod while I'm using my iphone and somehow my dad saw that I sent a text at 530 am I didn't think you could see them if you where using imessage please help?

Unless you & your dad share an Apple ID on different iOS devices then there's no way other than requesting that info from Verizon, which I think they only release in criminal investigations, that he would have gotten it.