Question 745116
From the property of logarithm:
{{{log M - log N = log(M/N)}}}
Let
{{{M = x^2-4}}}
{{{N = 2x-4}}}
So, {{{log((x^2-4))-log((2x-4))=log(((x^2-4)/(2x-4)))}}} factor out
{{{log((x+2)(x-2)/2(x-2))}}} cancel (x-2)

the answer is, {{{log(((x+2)/2))}}}