Solve and simplify for n, note that here n is not equal to 0.

6^3n^3 =36^9n^4

How to do this log-based question? Is anyone can ????

Without brackets, hard to tell where the exponents go

I will assume you mean:

(6^3)(n^3) = (36^9)(n^4) but then it doesn't require logs, so ...
(6^3)(n^3) = (6^18)(n^4)
n^3 = (6^15)(n^4)
n = 1/6^15 , pretty small value of n

I will stop guessing what you mean, repost using proper use of brackets.
confirm that you might have meant:
(6^3n)^3 = (36^9n)^4

(6^3n)^3 = (36^9n)^4 exactly what you mean, this is the equation need to solve.