1 - Promethea Fallen
The first Typhon Log is at the start of the map overviewing the city.
2 - What's in a Name
The second Log is after the "Road Rage" in the first settlement.
3 - First Vault Hunter
The last one is at the Vault Cave.
TYPHON DEAD DROP
The Dead Drop is close to the 3rd Typhon Log in the other dead end.