perplexus.info :: Just Math : Super Exponentiation Surmise III

Super Exponentiation Surmise III (Posted on 2023-10-17)

Determine all possible real values of n that satisfy this equation:

n^-nⁿ = 2^√2

Note: n^-nⁿ=n^-(nⁿ)

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

x=1/4 is the only solution.
For an explanation, refer to the solution submitted by Charlie in this location.

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

Subject	Author	Date
solution	Charlie	2023-10-17 13:58:13
solution	Charlie	2023-10-17 09:34:49

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