How many pairs of integers (x, y) satisfy either of the following two equations: 1) 2^x + 2^y = 2^(x+y) 2) 3^x * 3^y = 3^(xy)
Added by Olga J.
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This is because the only way for two powers of 2 to add up to another power of 2 is if they are the same power. So, any pair of integers (x, y) where x = y will satisfy this equation. For the second equation, 3^x * 3^y = 3^(xy), it is clear that x and y must be Show more…
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