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Can You Solve for n? Puzzle + Solution by mes

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· @mes ·
$4.39
Can You Solve for n? Puzzle + Solution
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](https://mes.fm/puzzles/can-you-solve-for-n)

![Solve for n.png](https://files.peakd.com/file/peakd-hive/mes/23tT24arHhHYDhkcZHLa7aiVRBncUXHDtBfao7rGGy6QY538TWmBGKs6CQArXmAUhYHsi.png)

## Solution

The first step in solving this is to recognize that we can get this equation in quadratic form by writing (n<sup>2</sup>)<sup>n</sup> = (n<sup>n</sup>)<sup>2</sup>. Then we let x = n<sup>n</sup> and complete the square and solving for x. Replacing x with n<sup>n</sup> 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<sup>1/n</sup> = 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](https://mes.fm/puzzles/can-you-solve-for-n/solution)

![Solve for n Solution.png](https://files.peakd.com/file/peakd-hive/mes/23tHbr9ykstKsicr5YuosaG7BdG3t5F7JdiQBxxk7Fx8QigEBHYu4xvXffypyLEePoF8u.png)

---

# 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](https://mes.fm/puzzles/missing-cards-riddle)

![Dealing Cards Riddle.jpeg](https://files.peakd.com/file/peakd-hive/mes/23tw7oNjU1UhdeRKCR13jhtZkuuGSe4DPfpo5kopu9uVG2ev1PgAwawfnYqYd8R2nzMej.jpeg)

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

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👍  , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , and 231 others
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vote details (295)
@curation-cartel ·
![1UP-PIZZA.png](https://files.peakd.com/file/peakd-hive/curation-cartel/23xediR4hotaNsS5pUJrmYVg3YGeTLpui41uCij2jhUDZ4uFT84zoGJf8a8VnfELXLJgt.png) |  <div class="phishy"><u><h4>You have received a __1UP__ from @gwajnberg!</h4></u></div> The @oneup-cartel will soon upvote you with:<hr> __@stem-curator, @vyb-curator, @pob-curator, @pal-curator__ <hr>_And they will bring !PIZZA 🍕._
-|-

<sup>[Learn more](https://peakd.com/hive-102223/@flauwy/the-curation-cartel-1up-trigger-smart-voting-mana-and-high-delegation-returns-for-14-different-tribes) about our delegation service to earn daily rewards. Join the Cartel on [Discord](https://discord.gg/mvtAneE3Ca).</sup>
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@gwajnberg ·
Thanks for this class
!1UP

<a href="https://discord.gg/zQrvxAu7mu">
<img src="https://files.peakd.com/file/peakd-hive/thecuriousfool/23wCNFDyCLJu1v77TTg2MYKkd7XWkgF9fhiLujTDAaLaUz7H4AaQkDentB5UMVS8FcrVs.png"></a>
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@pizzabot ·
<center>🍕 PIZZA !


I gifted <strong>$PIZZA</strong> slices here:
@curation-cartel<sub>(18/20)</sub> tipped @mes (x1)


<sub>Send $PIZZA tips in <a href="https://discord.gg/hivepizza">Discord</a> via tip.cc!</sub></center>
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@stemsocial ·
re-mes-can-you-solve-for-n-puzzle--solution-20221122t054313415z
<div class='text-justify'> <div class='pull-left'>
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