[tex]log_{2}48=log_{2}(3\cdot16) = log_{2}3+log_{2}16 = log_{2}3 + log_{2}2^{4} = 4log_{2}2+log_{2}3 =4+log_2}3[/tex]
[tex]\sqrt{27} - (\sqrt{6}-\sqrt{2})^{2} = \sqrt{9\cdot3}-(\sqrt{6}^{2}-2\cdot\sqrt{6\cdot2}+\sqrt{2}^{2}) = 3\sqrt{3}-(6-2\sqrt{12}+2)=\\\\=3\sqrt{3}-(8-2\sqrt{4\cdot3}) = 3\sqrt{3}-8+2\cdot2\sqrt{3} = 3\sqrt{3}+4\sqrt{3}-8 = 7\sqrt{3}-8[/tex]
5.
[tex]dla \ \ x = 3\\\\2(2-x)^{2}-4(x-\sqrt{3})(x+\sqrt{3}) = 2(2-3)^{2} -4(3-\sqrt{3})(3+\sqrt{3}) =2\cdot(-1)^{2}-4(9-3)=\\\\=2\cdot1-4\cdot6 = 2-24 = \boxed{-22}\\\\Odp. \ C.[/tex]
