Yes, the bases are different, so the first thing you can do is to change to a common base.

Note: the problem in question is the following:

Let $n$ be an even positive integer, solve the inequality for $x$: \[ \log_2 x - 4\log_{2^2} x + 12\log_{2^3} x +\cdots +n(-2)^{n-1}\log_{2^n} x > \frac{1-(-2)^n}{3}\log_2(x^2-2) \]