A question on logarithms? Help.

1. Show that log ( base 2 ) x + log ( base x ) 2-2 can be written as ( a + b )^2 / a.

Note: I think that this question is looking for the values of a and b respectively, which is supposed to be represented with a log value， not the integral value
I've attempted on the method of changing the base of the logarithms. However, I do not know how to proceed.

changing log x base to log2base we have


log xbase = log2base / logx