Zadanie 1
a)
{log_{\frac{1}{4}}1024=log_{\frac{1}{4}}2^{10}=log_{\frac{1}{4}}(\sqrt4)^{10}=log_{\frac{1}{4}}(4^{\frac{1}{2}})^{10}=log_{\frac{1}{4}}(\frac{1}{4})^{-5}=-5}
y=log_{\sqrt2}4=log_{\sqrt2}2^2=log_{\sqrt2}(2^{\frac{1}{2}})^4=log_{\sqrt2}(\sqrt2)^4=4
(x,y)=(-5,4) II ćwiartka
b)
x=log_2\pi\approx 1,65
y=log_{\frac{1}{2}}\pi\approx -1,65
(x,y) = (1,65, -1,65) IV ćwiartka