Question 527313
(1)/(2)*ln(2x-1)-2ln(x+1)

Simplify -2ln(x+1) by moving all terms inside the logarithm.  The third law of logarithms states that the logarithm of a power of x is equal to the exponent of that power times the logarithm of x (e.g. log^b(x^(n))=nlog^b(x)).
(1)/(2)*ln(2x-1)+ln((x+1)^(-2))

Multiply (1)/(2) by ln(2x-1) to get (ln(2x-1))/(2).
(ln(2x-1))/(2)+ln((x+1)^(-2))