2.
[tex]a) \ log4\sqrt{10}+log25\sqrt{10} = log(4\sqrt{10}\cdot25\sqrt{10}) = log1000 = log10^{3} = 3\\\\b) \ log_{7}14\sqrt{7}-log_{7}2\sqrt{7} = log_{7}\frac{14\sqrt{7}}{2\sqrt{7}}=log_{7}7 = 1\\\\c) \ log3 - log4 + log\frac{4}{30} = log\frac{3}{4}+log\frac{4}{30} = log(\frac{3}{4}\cdot\frac{4}{30}) = log0,1 = log10^{-1} = -1[/tex]
