Dave, can't tell you for sure what tranny you have, but i can help you figure it out... there's actually three possibilities: AX5, BA10 and AX15. Easiest, but not definite is to determine when your vehicle was built, after June 89 Jeep used the AX15. Check your drivers door for a build date.
I crawled around quite a bit looking for the identification numbers as noted in the dealer service manual (good item to get if you don't have it, beats the chiltons manuals). If you can't find the id plates (which tell you exactly which tranny you have) then look for the tranny setup by first finding the drain plug. If the drain plug is immediately in front of the intermediate plate on the passenger side you've figured out you have a AX5 or AX15. Here's where the build date will help you 'guesstamate' - early build = AX5; June or after = AX15. The id tags for both are almost directly below the drain plug. If the plug is on the drivers side you've got the puegot ba10 (the id tag should be a few inches behind the plug towards the vehicle rear). Find that ID TAG to be absolutely sure - I'm just a hack at all this stuff and just went thru the same identification difficulties you are and found out I've got the ax15. Good Luck!
I crawled around quite a bit looking for the identification numbers as noted in the dealer service manual (good item to get if you don't have it, beats the chiltons manuals). If you can't find the id plates (which tell you exactly which tranny you have) then look for the tranny setup by first finding the drain plug. If the drain plug is immediately in front of the intermediate plate on the passenger side you've figured out you have a AX5 or AX15. Here's where the build date will help you 'guesstamate' - early build = AX5; June or after = AX15. The id tags for both are almost directly below the drain plug. If the plug is on the drivers side you've got the puegot ba10 (the id tag should be a few inches behind the plug towards the vehicle rear). Find that ID TAG to be absolutely sure - I'm just a hack at all this stuff and just went thru the same identification difficulties you are and found out I've got the ax15. Good Luck!