Try solving the following puzzle before looking at the solution!

# Can You Solve for n?

This is a good puzzle to test your pattern recognition and algebra skills. Can you solve for n?

Hint: Try to get it in the form of a quadratic equation.

## 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/

# New Puzzle: Missing Cards Riddle

This is a good riddle to test your card dealing skills. Do you know how many cards are missing?

I will share the solution here next month!

# More Puzzles

The above puzzles were taken from my website and republished on the Hive blockchain.

For more puzzles, visit: https://mes.fm/puzzles