perplexus.info :: Just Math : Nimble Exponent Extrication

Nimble Exponent Extrication (Posted on 2021-11-22)

How many integer values of n satisfy this equation?

(6+n)ⁿ + (7+n)ⁿ = 12ⁿ + 1

Prove that there are no others.

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

n={0,2,3} are the only possible integer solutions.
For an explanation, refer to:
The solution submitted by Jer in this location.
The solution submitted by Charlie in this location.

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

Subject	Author	Date
computer solution	Charlie	2021-11-22 11:56:13
Taxicab solution	Jer	2021-11-22 09:32:14
First thoughts	Steve Herman	2021-11-22 08:42:59

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