Zadanie 15
A=log_6(log_264)=log_6(log_22^6)=log_66=1
B=log_{\frac{2}{3}}\frac{81}{16}=log_{\frac{2}{3}}(\frac{3}{2})^4=log_{\frac{2}{3}}(\frac{2}{3})^{-4}=-4
C=log_{\frac{1}{2}}2\frac{1}{4}-log_{\frac{1}{2}}1\frac{1}{8}=log_{\frac{1}{2}}\frac{9}{4}:\frac{9}{8}=log_{\frac{1}{2}}\frac{9}{4}*\frac{8}{9}=log_{\frac{1}{2}}2=log_{\frac{1}{2}}(\frac{1}{2})^{-1}=-1
D=log_33\frac{6}{7}+log_32\frac{1}{3}=log_3\frac{27}{7}*\frac{7}{3}=log_39=log_33^2=2
B<C<A<D
Zadanie 5
log_216+log_327=log_22^4+log_33^3=4+3=7
odpowiedź B