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BBB 2022 - Secondary 3 - Preliminary Round Question 10

BBB · BBB 2022 - Secondary 3 - Preliminary Round

Question 10

$x,y$ are prime numbers and $3^x-5^y=y$. How many set(s) of solutions is / are there?
  1. 0
  2. 1
  3. 2
  4. 3