a)
100^{log8}=10^{2*log8}=10^{log{8^2}}=10^{log{64}}=64
wzór
a^{log_ax}=x
b)
125^{log_53}=(5^3)^{log_53}=5^{3log_53}=5^{log_5{27}}=27
c)
5^{log_{\frac{1}{5}}{10}}=((\frac{1}{5})^{-1})^{log_{\frac{1}{5}}{10}}=(\frac{1}{5})^{log_{\frac{1}{5}}{10^{-1}}}=10^{-1}=\frac{1}{10}
d)
(log _4{16})^3=2^3=8
Dopisuję zadanie
log_3{\sqrt[3]3}=log_33^{\frac{1}{3}}=\frac{1}{3}