To solve this logarithmic equation, we can use the properties of logarithms.

First, let's simplify the equation using the properties of logarithms:

log2(x^2-2) - log2(x) = log2(x-2/x^2)

Applying the quotient rule of logarithms, we get:

log2((x^2-2)/x) = log2(x-2/x^2)

Now, we can remove the log on both sides by exponentiating both sides with base 2:

(x^2-2)/x = x-2/x^2

Multiplying both sides by x to get rid of the fraction in the equation:

x^2 - 2 = x^2 - 2

Now, we can see that the equation is an identity, meaning that it holds true for all x.

So, the solution to the original equation is all real numbers x such that x ≠ 0.