Question 868356
I'm going to be using log rules from the link below



<a href="http://www.purplemath.com/modules/logrules.htm">http://www.purplemath.com/modules/logrules.htm</a>



{{{3*ln(a) - (1/2)*(ln(b)+ln(c^2))}}}



{{{3*ln(a) - (1/2)*ln(b*c^2)}}} Using rule 1



{{{ln(a^3) - ln((b*c^2)^(1/2)^"")}}} Using rule 3



{{{ln(a^3) - ln((b)^(1/2)^""*(c^2)^(1/2)^"")}}}



{{{ln(a^3) - ln((b)^(1/2)^""*c^(2*(1/2))^"")}}}



{{{ln(a^3) - ln((b)^(1/2)^""*c^(2/2)^"")}}}



{{{ln(a^3) - ln((b)^(1/2)^""*c^1)}}}



{{{ln(a^3) - ln(sqrt(b)*c)}}}



{{{ln(a^3) - ln(c*sqrt(b))}}}



{{{ln((a^3)/(c*sqrt(b)))}}} Using rule 2