A Nice Algebra Problem | Math Olympiad | Exponential Equation

[@toms-cubes-and-games]

Brilliant, thank you

[@SALogics]

You're very welcome! ❤

[@aravindhnagarathinam]

Simply superb

[@SALogics]

Thanks a lot! ❤

[@canalf007]

2^x and 2x are continious, strictly increasing and convex functions. They can intersect eachother at most twice. The solutions are the ovious ones: 1 and 2.

[@SALogics]

Very nice! ❤

[@zadabjlil2281]

👍👍

[@SALogics]

Thanks for liking! ❤

[@yasin-11228-sina]

Thank you for this video!!! I am from Iran... this video was helpful for me and my teacher (in my school)!!! Thank you very very veryyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyy much!!

[@SALogics]

You're most welcome! ❤

[@franciscoedilbertoespinoza2662]

Lo dilata innecesariamente, por simple inspeccion, cualquier aficionado obtiene la solucion. Usen el razonamiento correctamente para no caer en procedimientos innecesarios.

[@SALogics]

Disculpe las molestias! ❤

[@ckoque1]

Решил в уме за одну секунду что x равен 1 или 2.

[@SALogics]

Очень хорошо! ❤

[@boonraypipatchol7295]

Good prove...

[@SALogics]

Thank you so much! ❤

[@FilosofPlatonov]

Дважды два всегда равно четырем. Но если не фиг делать, то можно наворотить целую теорию.

[@SALogics]

Да, это правда ❤

[@ckoque1]

Куда интереснее было бы x⁵ = 13x

[@ralphtrucksess7008]

@@ckoque1 0 and +- 13^(1/4) ? ;)

[@ckoque1]

@@ralphtrucksess7008 хочется посмотреть на процесс решения.

[@j-6267]

And this is why Indians are at such a level of development. Third world 🙂

[@SALogics]

Thank you so much! ❤

[@jaggisaram4914]

1 , 2

[@SALogics]

Very nice! ❤

[@paulgibby6932]

2

[@SALogics]

and what is 2nd solution? ❤

[@pspprabhat]

2^×=2× 2^-1=×.e^ln2(-×) 7:22 =>W{ (-1).ln2.e^ln2(-1) =W{(-×)ln2.e^ln2(-×)} =>-×ln2=-1)ln2 =>×=1 &2nd soln =>{-1/2=-2/4=(-2)(1/4) =(-2ln2)ln2(2^-2) =W{-×.ln2.e^ln2(-×)} =>(-2ln2)=(-×.ln2) =>×=2,... the iind soln (×=1,2) =W{-2ln2.e^ln2(-2)}

[@SALogics]

Very nice! ❤

[@chrismcgowan3938]

x = 1 and 2 = 2 just by looking at the problem. Might be other solutions?

[@SALogics]

I think there are only these two solutions. ❤

[@AlbertoDiJanni]

How to make difficult a very simple problem.

[@yiutungwong315]

X = 1 and 2 (Real Number) In the Riemann Paradox and Sphere Geometry System Incorporated π = 2 So X can be Solved for 2 = π and X = 1 is indeed Correct...

[@SALogics]

Very nice! ❤

[@Bdcorpuschristi]

X=1'and 2

[@SALogics]

Very Nice! ❤

[@laobernadus5743]

X = 1

[@SALogics]

And what is the 2nd solution? ❤

[@laobernadus5743]

@SALogics . I just make a logical think. the value of X must be equal to exponen 'X'. And the only number is ( 1 ), so 2¹ equal to 2×1. That is brother.

[@jansnauwaert1785]

x = 1, 2, ...

[@SALogics]

Yes, you are right!❤

[@KilamSabba]

PAINFULLY slow and methodical.

[@SALogics]

Sorry for inconvenience! ❤

[@juridaudi6674]

It just killed my budding desire to become mathematician.

[@jaggisaram4914]

1🎵⛎🎵,

[@SALogics]

Very nice! ❤

[@babakerim1267]

2

[@SALogics]

And what about second solution? ❤