This is a simple one. An enchantment for axes that causes all log blocks above and to the side of the one that was chopped in trees also break. This is just a faster way to chop trees, but yo would have to be careful not to use it on, say, a log pillar in your house or the entire pillar would disappear.
[EDIT] I'm looking through the comments, and a recurring concern is the durability used. I posted a comment a while back addressing this, but I have since changed my mind. I instead think it should use as many durability points as logs chopped, but to avoid underestimating tree sizes and accidentally breaking your axe, I think that if chop a tree with too many logs, the axe only chops as many logs as it can before stopping at 1 durability. It would also make a sound similar to the one for breaking tools.
Another common(-ish) concern is griefing potential. To solve this, I begin by reminding you about leaves, and how player placed leaves have an nbt tag that prevents them from decaying. Logs should get one too, saying whether or not it is a natural log (from natural trees and saplings). The enchantment only affects natural logs.
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