3^(-x^2/3)>3^(4/3) take the log of both sides
log 3^(-x^2/3)> log 3^(4/3) and we can write
(-x^2/3) log3 > (4/3) log 3 divide both sides by log 3
(-x/2/3) > (4/3) [log3/log3]
(-x^2/3) > (4/3) * [1]
(-x^2/3) > (4/3) multiply both sides by 3
-x^2 > 4 there is no (real) solution to this because the left side is either negative, or 0, and this can never be greater than 4