Question 1089990
The first step here would be to remember that a constant multiplied by a logarithm can be moved to the exponent of the argument of the logarithm.  So
{{{(1/2)ln(x-3) = ln(x-3)^(1/2)}}}
and
{{{6lnx = ln(x^6)}}}
Next, we remember that two logarithms added to each other can be combined into one using multiplication.  
{{{ln((x-3)^(1/2))(x+2)}}}
Lastly, two logarithms subtracted from each other can be combined into one using division.
{{{ln(((x-3)^(1/2))(x+2)/(x^6))}}}