Zadanie 1.
[tex]\frac{a^{-2,5}}{a^{2,5}} =a^{-2,5-2,5}=a^{-5}[/tex]
Odp: A
Zadanie 2.
[tex]\log_{\sqrt5}(5\sqrt5)=x\\(\sqrt5)^x=5\sqrt5\\5^{\frac{1}{2}x}=5*5^\frac{1}{2}\\5^{\frac{1}{2}x}=5^{1\frac{1}{2}}\\\frac{1}{2}x=1\frac{1}{2}\ |*2\\x=3[/tex]
Odp: D
Zadanie 3.
[tex](3\sqrt3-x)^2=31-12\sqrt3\\(3\sqrt3)^2-2*3\sqrt3x+x^2=31-12\sqrt3\\27-6\sqrt3x+x^2=31-12\sqrt3\\\left \{ {{-6\sqrt3x=-12\sqrt3\ |:(-6\sqrt3)} \atop {27+x^2=31} \right. \\\left \{ {{x=2} \atop {27+2^2=31} \right. \\\left \{ {{x=2} \atop {31=31} \right.\\x=2[/tex]
Odp: A
Zadanie 4.
[tex]p=45\%m\\p=15\%n\\45\%m=15\%n\ |:15\%\\3m=n\\n=3m[/tex]
Odp: A