SOLUTION: State 3 pairs of positive integers (a,b) satisfy 3^4 + 2a^b = 3^5

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Question 1123318: State 3 pairs of positive integers (a,b) satisfy 3^4 + 2a^b = 3^5
Answer by ikleyn(52778) About Me  (Show Source):
You can put this solution on YOUR website!
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3%5E4 + 2a%5Eb = 3%5E5   ====>


2a%5Eb = 3%5E5 - 3%5E4 = 3%5E4%2A%283-1%29 = 2%2A3%5E4  ====>


a%5Eb = 3%5E4.


The three pair are


    1)  a = 3,  b = 4;

    2)  a = 9;  b = 2;

    3)  a = 81;  b = 1.

Solved.