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Find the number of integral solutions

Source: MTRP 2019 Class 11-Multiple Choice Question: Problem 2 :-

April 9, 2020
number theory

Problem Statement

What is the number of integral solutions of the equation ab2=b2aa^{b^2}=b^{2a}, where a > 0 and b>a|b|>|a|
[*] 3 [*] 4 [*] 6 [*] 8