Zad 1 [latex]16^{11}:(4*2^4)^3=(2^4)^{11}:(2^2*2^4)^3=2^{44}:(2^6)^3=2^{44}:2^{18}=2^{26}[/latex] Zad. 2 [latex]log_314=log_3(2*7)=log_32*log_37=a*b=ab[/latex] Zad 3 [latex]1470000=1,47 * 10^6[/latex] zad 4 [latex]frac{(5^{20}+5^{18})(3^4)^3}{(5^{16}+5^{14})*9^5}=frac{5^{18}(5^2+1)*3^{12}}{5^{14}(5^2+1)*(3^2)^5}=frac{5^4*3^{12}}{3^{10}} = \ [/latex] [latex]= 5^4 *3^2 = 625*9=5625[/latex] zad 5 x=xo+vt xo=x - vt -obliczone xo vt = x - xo /:v [latex]t=frac{x-xo}{v}[/latex] - obliczone t Zad 6 21 * 23 = 483 - tyle lat mają wszystkie osoby x- wiek przewodnika [latex]frac{x+483}{22}=24 \ x+483 =528\ x=528 - 483 \x=45 [/latex] Przewodnik ma 45 lat
