a)
[tex]2\log_{5}{6}-3\log_{5}{4}=\log_{5}{6^2}-\log_{5}{4^3}=\log_{5}{36}-\log_{5}{64}=\log_{5}{\frac{36}{64} }=\log_{5}{\frac{9}{16} }[/tex]
b)
[tex]\log_{2}{10}+2\log_{2}{5}-3\log_{2}{3}=\log_{2}{10}+\log_{2}{5^2}-\log_{2}{3^3}=\log_{2}{10}+\log_{2}{25}-\log_{2}{27}=\log_{2}{\frac{10*25}{27} }=\log_{2}{\frac{250}{27} }[/tex]
