Zad. 11.2
[tex]a)\\log_525=2 => 5^2=25\\log_7343=3 => 7^3=343\\log_61296=4 => 6^4=1296\\log_3729=6 => 3^6=729\\log_21024=10 =>2^{10}=1024\\log_464=3 => 4^3=64[/tex]
[tex]b)\\log_82 = \frac13 => 8^{\frac13}=\sqrt[3]{8}=2\\log_{81}3=\frac14 => 81^{\frac14}=\sqrt[4]{81}=3\\log_{27}9= \frac23=>27^{\frac23}=\sqrt[3]{27^2}=\sqrt[3]{729}=9\\log_{25}\frac15 = -\frac12 => 25^{-\frac12}=(\frac1{25})^{\frac12}=\sqrt{\frac1{25}}=\frac15\\log_{69}\frac1{69} = -1 => 69^{-1}=\frac1{69}\\log_4\frac1{64} =-3 => 4^{-3}=(\frac14)^3=\frac{1}{64}[/tex]
