MathDB

N5

Part of 2019 JBMO Shortlist

Problems(1)

JBMO Shortlist 2019 N5

Source:

9/12/2020
Find all positive integers x,y,zx, y, z such that 45xāˆ’6y=2019z45^x-6^y=2019^z
Proposed by Dorlir Ahmeti, Albania
number theory