a] [tex]log_69+log_64=log_6(9\cdot4)=log_636=log_66^2=2[/tex]
b] [tex]log_3\sqrt{162}-log_3\sqrt{2}=log_3(\sqrt{162}:\sqrt{2})=log_3\sqrt{162:2}=log_3\sqrt{81}=log_33^4=4[/tex]
c] [tex]3log10+2log\sqrt{10}=3\cdot1+log(\sqrt{10})^2=3+log10=3+1=4[/tex]