Hello candidate,

This problem needs to be solved by the use of binomial theorem where we have to expand each term using its binomial coefficients and then divide it with 3 raise to the power n term in order to get the nearest value of n possible.

But because of a limitation in the number of answering modes available, sorry but it's not possible for me to reduce the entire expression here. But, I would suggest you to rather expand the term in binomial form and rather going by heat and trial methods, and you will get your answer easily with this method.

Have a good day.