Can You Solve for n? (SOLUTION)
The first step in solving this is to recognize that we can get this equation in quadratic form by writing (n^2)^n = (n^n)^2. Then we let x = n^n and complete the square and solving for x. Replacing x with n^n and solving for n we get n = 1.
The puzzle was taken from the following website, which includes using natural log in the solution instead of 1^(1/n) = 1 in my solution: https://mathematicsart.com/solved-exercises/solution-can-you-solve-this-n2n-2-nn10/
Check out the puzzle (without the solution) by clicking here!
