Zad.1
5^{-1+2log_54}=5^{-1}*5^{2log_54}=\frac{1}{5}*5^{log_54^2}=0,2*4^2=0,2*16=3,2
Zad.2
2^{5-\frac{1}{3}log_227}=2^5:2^{\frac{1}{3}lo_227}=32:2^{log_2(27)^{\frac{1}{3}}}=32:2^{log_2\sqrt[3]{27}}=32:\sqrt[3]{27}=32:3=10\frac{2}{3}
Zad. 3
3^{2+log_34}=3^2*3^{log_34}=9*4=12
Zastosowano wzory
a^m*a^n=a^{m+n}
a^{log_ax}=x