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Think roughly about the shape of the graphs. There is one intersection with
x < 0. Then when x= 0, x^12 is lower than 2^x. When x = 2, x^12 is
higher. But we know that for very large x ("in the limit") x^12 ends up lower.
So (looking at the general shape of the graphs) there must be two
intersections with x > 0. So there are three intersections altogether.
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