Zad. 1. Oblicz
\[
\begin{aligned}
&\log_2 8\\[6pt]
&\log_5 25\\[6pt]
&\log_4 64\\[6pt]
&\log_5 (25\sqrt{5})\\[6pt]
&\log_{\sqrt{5}} \left(5\sqrt[3]{5}\right)\\[6pt]
&\log_{\frac{1}{3}} (81\sqrt{3})\\[6pt]
&\log_{8\sqrt{2}} \left(\frac{6\sqrt[3]{4}}{2\sqrt{8}}\right)
\end{aligned}
\]
Zad. 2. Wyznacz \(x\)
\[
\begin{aligned}
&\log_x 25 = 2\\[8pt]
&\log_x \frac{1}{2} = 3\\[8pt]
&\log_2 x = 10\\[8pt]
&\log_{2\sqrt{2}} x = -3
\end{aligned}
\]
