Captain's starlog
From Memory Alpha, the free Star Trek reference.
The captain's starlog was the title given to the captain's log by Earth Starfleet in the mid-22nd century. The commanding officer was the only officer who used this starlog. (ENT: "Fight or Flight") Those acting as captain used an acting captain's starlog. (ENT: "Hatchery")
The Captain's starlog of the Enterprise (NX-01) was recorded by famed Captain Jonathan Archer from 2151 to at least 2155. (ENT: "Fight or Flight", "Terra Prime")
The Captain's Starlog of the ISS Enterprise (NX-01) was recorded by Captain Maximilian Forrest in January, 2155. (ENT: "In a Mirror, Darkly")
