[tex]c) \ log_{4}10+log_{4}0,4 = log_{4}(10\cdot0,4) = log_{4}4^{1} = 1log_{4}4 = 1\\\\\\d) \ log_{2}48 -log_{2}3 = log_{2}\frac{48}{3} = log_{2}16 = log_{2}2^{4} = 4log_{2}2 = 4\\\\\\e) \ log_{5}10-log_{5}2 = log_{5}\frac{10}{2} = log_{5}5^{1} = 1log_{5}5 = 1[/tex]
[tex]f) \ log_{2}9-log_{2}72=log_{2}\frac{9}{72} = log_{2}\frac{1}{8} = log_{2}2^{-3} = -3log_{2}2 = -3\\\\\\h) \ 3log2 + 3log5=log2^{3}+log5^{3} = log8+log125=log(8\cdot125) = log1000 =\\\\= log10^{3} =3log10 = 3\\\\\\i) \ 2log_{2}6-4log_{2}\sqrt{3}=log_{2}6^{2}-log_{2}(\sqrt{3})^{4} = log_{2}36-log_{2}9=log_{2}\frac{36}{9} = log_{2}4=\\\\=log_{2}2^{2}=2log_{2}2 = 2[/tex]
