Super Exponentiation Surmise IV (Posted on 2023-10-23)

	Submitted by K Sengupta
Rating: 5.0000 (1 votes)
Solution:	(Hide)
x=-1 is the only possible solution to the given equation. EXPLANATION Let x=-y Then, we must have: 4^((1/2)^y) = 2^y Then, substituting y=1, we have: Lhs = 4^(1/2) = 2 Rhs = 2^1 = 2 For k > 1, we have: Lhs = 4^((1/2)^y) < 2= Rhs Hence, y=1 is the only possible solution to the given equation. Consequently, x= -1 is the only possible solution to the given equation.

	Subject	Author	Date
	Alternate method	Kenny M	2023-10-24 17:04:30
	solution	Charlie	2023-10-23 14:11:14