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.

Source: https://mes.fm/puzzles/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 (n²)ⁿ = (nⁿ)². Then we let x = nⁿ and complete the square and solving for x. Replacing x with nⁿ 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/

Source: https://mes.fm/puzzles/can-you-solve-for-n/solution

New Puzzle: Missing Cards Riddle

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

Source: https://mes.fm/puzzles/missing-cards-riddle

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