How You define transcedental function?
Examples of transcendental functions include sin(), cos(), tan(), ln(), exp(). Any infinite polynomial qualifies as a transcendental function.
I'm was initially inclined to say that 3 2's cannot span the entire set of integers even with the combinations offered by transcendentals.
Then I got to thinking - we are talking about infinite polynomials here.
When I cut this number from another site, I was expecting to offer a counterexample
Now I'm beginning to wonder whether it's possible.