Math : Infinite exponent problem || The elegance of Math

     Hi guys! Back with me again in AquaScience, and I will post my first math blog post. I post this problem because I was really interested and I think this problem deserve a post.
    Okay, so i recently saw a problem from Presh Talwalker or known by the Channel "MindYourDesicion". This problem was published around 3 years ago.
    

• So the problem is this :

     X^X^X^X^X^... = 2, Solve for the X!

• Solution :

     Firstly, it seems imposibble, but if you saw it again, it have a pattern that is X^X^X^X^... Look again! If X^X^X^X^X^... = 2, then just change the exponent! It is the same as subtituting the exponent into 2. The equation changes into X^2 = 2. Work it again and you will have :
    
          X = 2^(1/2).
     
     So the problem teach us to see a pattern and use a creative way to solve problem. That's all from me, may this blog be useful to all of us, and see you in my next post!