INFINITE POWER TOWER on the both sides!/ Impossible to solve?

In this video we are going to learn what is an infinite power tower and we will see if it's possible to solve equation if we have infinite power tower on the both sides of the equation.
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[@mcrow312166]

I love the combination of advanced maths with the cute blackboard, background and lighthearted presentation. Well done!

[@aleratz]

I never thought math could be so beautiful

[@siddhamjain5753]

Thanks for the methods to solve these kind of questions which are not taught in high school. These are very useful and fascinating

[@intellecta2686]

Thank you very much :)

[@rean_infinity]

Wow the best 😮

[@drdiegocolombo]

Hi Ivana and thanks for your wonderful videos. Impeccable explanations! How is it shown that the interval of existence is e ^ -e

[@zorejurcevic8263]

Lijepo objašnjeno svaka cast

[@intellecta2686]

Hvala Zore hehe 🥰

[@anjuichu]

wonderful

[@intellecta2686]

Thank you :)

[@peternolan814]

Hello Ivana,
Fascinating. I didn't know about infinite power towers.
All the best and many thanks,
Peter. Dublin.

[@intellecta2686]

Hello Peter,
Yes, it’s not something many of us have learned in college, neither am I, but I think it’s very interesting. At least to me :)
Have a wonderful day.

[@TheFrewah]

Here’s an interesting paper on infinite power towers arxiv.org/pdf/1908.05559.pdf

[@TheFrewah]

You have to understand how to rewrite, the first one requires some thinking. Once you have the two equations, it’s pretty easy

[@uweschwarz1760]

It seems that there is a mistake. You made the assumption that e^-e < x < e^1/e. Which says that approximately 0.06599 < x < 1.44467. So x=3 can't be a solution, because of the false assumption. Wright?

[@aleratz]

In reality is 4-x in one case and the cube root of 3 in the other so it is inside the interval

[@kennytheripper2526]

Hello Ma'am can you please tell me how can I get good in calculations? I'm quite goof in such problem solving competition but many times calculations get me to hell.

[@mathbunroeung7019]

good. If x=1?

[@janitorvoniserlohn]

this is the so-called "trivial" solution.

[@baonamtran9571]

(x=3) is wrong solution!

[@rukhsarahmad2006]

In which country do you belong

[@rojesterlyrics3998]

🇧🇩🇧🇩🇧🇩🇧🇩🇧🇩

[@naveensingh5787]

Do u help