perplexus.info :: Just Math : Super Exponentiation Surmise

Super Exponentiation Surmise (Posted on 2022-07-31)

Find all real values x that satisfy this equation:
x^{x^x} = (1/2)^√2

Provide adequate reasoning for your answer.

Note: a^b^c is equal to a^(b^c)《rather than (a^b)^c》

Submitted by K Sengupta

Rating: 4.5000 (2 votes)

Solution: (Hide)

So the required value of x is 1/4.
For an explanation, refer to the analytic solution submitted by Jer in this location.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
No Subject	K Sengupta	2023-01-01 15:20:48
re: No Subject	Ffaada	2023-01-01 13:22:07
No Subject	K Sengupta	2022-11-23 02:08:16
Peter	Peter Bately	2022-11-23 01:58:25
No Subject	K Sengupta	2022-10-26 07:31:26
No Subject	K Sengupta	2022-10-26 07:30:53
re: No Subject	Alisha Dean	2022-10-26 07:29:51
No Subject	Alisha Dean	2022-10-26 07:29:23
re: Step by step solution	JayDeeKay	2022-08-07 08:09:29
re: Step by step solution	broll	2022-07-31 22:15:36
Step by step solution	Jer	2022-07-31 10:15:52
or graphically	Larry	2022-07-31 09:39:51
trial and error annotated	Charlie	2022-07-31 09:26:33

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