I'm sharing a bunch of cards between my Tasigur and Samut decks for budget reasons. Both of them are green decks with heavy land ramp themes, which means that both of them benefit from cards like
Exploration,
Life from the Loam, and
Oracle of Mul Daya. Until recently,
Burgeoning was one of the cards I was running in both... but I ended up cutting it from Tasigur, while I consider it one of the more powerful (and silly) engines in Samut.
It's interesting to compare Burgeoning and its parallel, Exploration. Strictly speaking, both are card disadvantage - unlike
Rampant Growth or other ramp cards, they don't provide any mana themselves. If you don't have extra lands to play, they do nothing, which can make them weak draws in the lategame. On the flip side, if you have a ton of lands, they offer access to unparalleled mana acceleration -
Sol Ring gives two extra mana, but if you get three extra land drops from Burgeoning/Exploration, they'll outpace it pretty quickly. So, both pose a question: can you find enough lands to fuel them? The basic solution to get more lands to play is card draw - if you're playing
Edric, Spymaster of Trest or some other deck capable of drawing absurd numbers of cards, both of these are very powerful ramp engines.
If you're just playing lands from hand, I think Burgeoning is the more powerful card - assuming your opponents are hitting their land drops, it gives you three extra land drops per turn cycle, while Exploration only gives one. Exploration does give an extra mana the turn you play it... but given that you've already spent a mana casting it on the first place, I don't value that particularly highly.
In practice though, I think Exploration is stronger for one reason: it works with
Crucible of Worlds. Exploration + recursion + any fetch land is an extremely powerful engine that lets you hit all your land drops until you run out of fetchables. It also works nicely with
Courser of Kruphix and other cards the let you play lands off the top of your deck, or if you happen to be running any red impulsive draw and want to play them from exile. On the flip side, Burgeoning only lets you play extra lands from hand, which makes it a bit more limited. My Tasigur deck is great at dumping lands in the graveyard to play with
Ramunap Excavator, but since Tasigur himself only puts nonland cards into hand, he's a bit awkward with Burgeoning.
That said, I think Burgeoning is better in my Samut deck due to synergy. For one, I'm running
Thawing Glaciers and
Nylea's Intervention, which makes that deck particularly good at putting extra lands into hand. But the real reason why I think it's better is
Quirion Ranger and
Scryb Ranger - my deck is built around tap abilities, so removing the costs from those two cards is extremely powerful. It also works well with
Selesnya Sanctuary and other bouncelands.
....anyway, tl;dr: Burgeoning is better if you have a ton of card draw or bounce effects to support it, Exploration is better if you're running Crucible effects. Both are very strong on turn 1, but are weak topdecks.