This guide shows the location of all the collectibles (1 Spartan Cores, 2 UNSC Audio Log, 2 Banished Audio Log) in the Annex Ridge in the Halo Infinite campaign.
Also Read: Halo Infinite Collectibles Guide
1) UNSC Audio Log 1/2
It is above the wall on the northeast side of Annex Ridge as shown in the picture below.
2) Banished Audio Log 1/2
Enter the building as shown in the pictures below. The audio log is leaning against a container right in front of the entrance.
3) Spartan Core 1/1
It is at the location shown in the pictures below.
4) Banished Audio Log 2/2
Enter the underground area at the center of Annex Ridge as shown in the picture below. Go through the tunnel and it will lead you to a Grav Lift. The audio log is behind the Grav Lift.
5) UNSC Audio Log 2/2
It is above the wall on the south side of Annex Ridge as shown in the pictures below.