Question 155514
Expand:
{{{log(((x^2-4)/(x-2)^2))}}} Apply the quotient rule for logarithms:
{{{log((x^2-4))-log((x-2)^2)}}} Expand the first term and apply the power rule to the second term to get:
{{{log(((x-2)(x+2)))-2*log((x-2))}}} Apply the product rule to the first term to get:
{{{log((x-2))+log((x+2))-2*log((x-2))}}} Combine like-terms.
{{{log((x+2))-log((x-2))}}}...and there you have it!