perplexus.info :: Numbers : Sorta Legendrian...

Sorta Legendrian... (Posted on 2023-06-02)

Find all possible nonnegative quadruplets (a,b,c,d) that satisfy this equation:

     2^a + 6^b + 9^c = 11^d

Prove that no further nonnegative solution to the given equation is possible.

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

(a,b,c,d)=(0, 0, 1, 1), (2, 1,0,1),(2, 2, 2, 2)are the required solutions to the given problem.
For an explanation, refer to the computer program assisted solution submitted by Larry in this location..
Unfortunately, Larry did NOT give an analytical proof that there does not exist any further solution to the given problem.

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

Subject	Author	Date
No Subject	K Sengupta	2023-06-07 23:12:12
blackberriesinfo	wacox	2023-06-06 23:56:37
Computer solution without analytic proof	Larry	2023-06-02 07:38:30

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