Note that the question invites approximation. ("which of the following approximates
That combined with the fact that we are dealing with exponents that are so far apart is a huge signal that you should approach this one qualitatively, reasoning it out and approximating rather than using pure algebra.
If you understand how quickly orders of magnitude increase, then you can reason your way to the right answer very quickly. A number like 5^28 is going to be WAAAAAAY bigger than 3^11. Absolutely, hugely bigger than 3^11. So, 3^11 is negligible, like nothing, compared to 5^28. So, we can look at the equation like this:
5^28 + (nothing) = 5^q
5^28 = 5^q
28 = q
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