Zadanie 7
f(x)=3^x dla x\in \{-4,-3,-\frac{1}{2},\frac{1}{2},3,4\}.
f(-4)=3^{-4}=(\frac{1}{3})^4=\frac{1}{81}
f(-3)=3^{-3}=(\frac{1}{3})^3=\frac{1}{27}
f(-\frac{1}{2})=3^{-\frac{1}{2}}=(\frac{1}{3})^{\frac{1}{2}}=\sqrt{\frac{1}{3}}=\frac{1}{\sqrt3}=\frac{\sqrt3}{\sqrt3*\sqrt3}=\frac{\sqrt3}{3}
f(\frac{1}{2})=3^{\frac{1}{2}}=\sqrt3
f(3)=3^3=27
f(4)=3^4=81
Zadanie 8
a)
log_{12}2+log_{12}8+log_{12}9=log_{12}(2*8*9)=log_{12}144=2
b)
log0,12-log0,3+log25=log(0,12:0,3)+log25=log(0,4*25)=log10=1