I agree partially with IggyBot here; having your team floating around for others to see is something many players won't be 100% comfortable with. However, I think we can all agree that simply getting permission from your opponent (and also changing their name in the log if they wish) is enough for the log to be posted.
Something else that could clarify the situation up would be to just take out the parts of the log that don't matter (you could PM your opponent with the edited version to see if they'll let you post it). Although that could be quite hard (finding parts that don't matter in the long run), it's certainly a viable option.
Last, if you can't get permission in any way, you can still post what you learned from the battle. You don't necessarily need to show everybody the log to learn from it; you can just explain the situation and tell how you reacted and how it turned out.
Something else that could clarify the situation up would be to just take out the parts of the log that don't matter (you could PM your opponent with the edited version to see if they'll let you post it). Although that could be quite hard (finding parts that don't matter in the long run), it's certainly a viable option.
Last, if you can't get permission in any way, you can still post what you learned from the battle. You don't necessarily need to show everybody the log to learn from it; you can just explain the situation and tell how you reacted and how it turned out.