Embedded Files
Take a look below to see the problem (at very end)
We have the equation:
X to the power of X to the power of X to the power of ... etc. equals 2
(1)
It is necessary to find the value of X.
Without falling into a stupor, but after thinking a little, we realize: in order to raise X to a power, it would be nice to know this power. Peering carefully at equation (1), we notice that the exponent is:Β
Again this endless expression... But after all (according to the problem statement) it is equal to 2β. Thus, equation (1) can be rewritten in a simpler way:Β
(2)
Now the solution is obvious: take the square root and get (we'll limit ourselves to 9 signs) πΒ
Bingo ! We got it!
But suddenly ...
a clever man appears and said:
- Let's solve this :Β
(3)
It is very similar to equation (1), only difference is: there is number four '4' instead of two '2'. Reasoning, as before, we write down:Β
Wow! Confusion! πΒ
Same answer
for both Eq.1 and Eq.3 (!?!?)Β
Numerical test
Ok, the solution for equation(1) is confirmed.
But what to do with equation (3) ???Β
Page updated
Google Sites
Report abuse