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Recursion Problem

 
Greenhorn
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Does anybody know how I can solve this problem, at this point I am just looking for answers, I'm stressed and just want to complete this assignment, if you do know and can provide me with the proper code to solve it, I would greatly appreciate it, thank you.
Screenshot-16-05-2022-071003.jpg
[Thumbnail for Screenshot-16-05-2022-071003.jpg]
 
Saloon Keeper
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Welcome to the Ranch.

No, we won't solve your problem for you, but we'll help you do it yourself. So: what do you have so far? If you haven't started, what ideas have you had?
 
Greenhorn
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Is the problem just looking for integers or are you supposed to find a real number such that x^x = N?

Sorry the side of me that loves math came out there for a minute.  

I would suggest looking here.   https://www.geeksforgeeks.org/recursive-functions/  it doesn't have the exact problem you have but it has a good discussion about recursive functions and an example in Java ( or several other languages ).
 
Marshal
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It is easy enough to write an int recursivePower() method such that recursivePower(3) returns 27. I am not sure whether that is what they wanted. I got an overflow error with recursivePower(10).
 
Saloon Keeper
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No, that is not what they want. They want a recursive solution for x^x = N. To be able to solve this for higher values of x, you might take the logs of both sides. How would you turn Newton-Raphson or a binary search into a recursive one?
 
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How does "F(x+1)" apply to solving the problem with doubles?
 
Carey Brown
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A non-recursive approach. If I knew how to use logs that would probably be more direct than this (?).
 
Saloon Keeper
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This is another example of a really stupid assignment to test people on recursion. Not only that, but it's poorly written as well.

Here's the only sensible way I can see the solution be implemented, following the assignment to the letter:
 
Piet Souris
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Or this, a recursive binary search. Quite useless, as Stephan says, but fun to make.

 
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