 Values of "t" such that 2"t" is an integer are all of the form "t" = log2"m" for some integer "m", while for 3"t" to be an integer, "t" must be of the form "t" = log3"n" for some integer "n".By setting "x"1 = 1, "x"2 = "t", "y"1 = log2, and "y"2 = log3, the four exponentials conjecture implies that if "t" is irrational then one of the following four numbers is transcendental