favorably
In a way that shows approval, support, or something good.
Favorably means in a positive or approving way. When a teacher responds favorably to your project proposal, she likes your idea and gives you permission to move forward. When a book reviewer writes favorably about a novel, he praises it and recommends it to readers.
The word suggests genuine approval or support, going beyond mere acceptance. If you compare favorably with other students in your grade, you stand out in a good way. When weather conditions look favorable for your field trip, they seem promising and good.
You'll often see this word when people are evaluating or judging something. A college might look favorably on your application if your grades and activities impress them. A judge might rule favorably for one side in a court case, deciding in their favor. The opposite is unfavorably, which means in a negative or disapproving way.
Notice how favorably connects to the word favor, which means approval or support. When circumstances work out favorably, they're going your way, almost as if luck has decided to do you a favor.