180 Days of Ideas for Discussion in Math Class.
(as of 9July2014, we're in overtime!)
Wow, answer on Wolframalpha was pretty surprising!
Is it true for all numbers a and b, when a < b, then $a^b > b^a$?
Trying this again, it didn't seem to post the first time.Counterexample #1: Let a = 1, and b = 3.Counterexample #2: Let a = 2, and b = 3.Counterexample #3: Let a = 2, and b = 4.