Explanation

When we prefer to compare or otherwise work with exponents of different bases, as in this question, we should first check to see whether we can convert them into the same base. We are asked whether the following is true:











We can consider some values of k. If k = 6, then . That's less than , which is multiplied by three more 3's. If k = 7, then . That's larger than , as it times one more 3, since is in fact three times larger than . Therefore, k = 6 is the last value before the left side gets bigger than the right side.

The correct answer is (A).