perplexus.info :: Numbers : Some Powers Sum 328

Some Powers Sum 328 (Posted on 2023-12-10)

Find all triplets (x, y, z) of positive integers that satisfy this equation:

 2^x+4^y+8^z= 328

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

The required solution is:
(x,y,z) = (8,3,1); (6,4,1); (3,4,2)
For an explanation, refer to the solution submitted by Jer in this location.

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

Subject	Author	Date
Puzzle Solution	K Sengupta	2023-12-11 07:07:17
pure analytic solution	Jer	2023-12-10 10:39:24
Analytic + Computer	Larry	2023-12-10 10:18:17
computer solution	Charlie	2023-12-10 09:52:24

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