Hello, thank you for taking the time to post your question!
You can actually just think through this one logically … if it doubles in size each day that means that the day before it’s entirely full it will be half full. So it will be on Day 47 where it covers half the lake in this situation.
I hope that helps you get moving in a better direction on this type of question! Feel free to reach out if you have any additional questions beyond that :)