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

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Question 1097461: State the three pairs of positive integers (a,b) that satisfy +3%5E4%2B2a%5Eb=3%5E5+
Answer by Alan3354(69443) About Me  (Show Source):
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State the three pairs of positive integers (a,b) that satisfy +3%5E4%2B2a%5Eb=3%5E5+
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+3%5E4%2B2a%5Eb=3%5E5+
81+%2B+2a%5Eb=+243
2a%5Eb=+162
a%5Eb=+81
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3^4 = 81
9^2 = 81
81^1 = 81