1) log2; 2) log2; 3) log2 v2; 8 2 2 269 1) log3 27; 2) log3 81; 3) log3 3; 4) log3 1. 270 1) log3; 2) log3 1 3) log3 √3; 4) loga. 1 9 3 3

Определим значения логарифмов: 268 1) $$\log_2 \frac{1}{2} = \log_2 2^{-1} = -1$$ 2) $$\log_2 \frac{1}{8} = \log_2 2^{-3} = -3$$ 3) $$\log_2 \sqrt{2} = \log_2 2^{\frac{1}{2}} = \frac{1}{2}$$ 4) $$\log_2 \frac{1}{\sqrt[4]{2}} = \log_2 2^{-\frac{1}{4}} = -\frac{1}{4}$$ 269 1) $$\log_3 27 = \log_3 3^3 = 3$$ 2) $$\log_3 81 = \log_3 3^4 = 4$$ 3) $$\log_3 3 = 1$$ 4) $$\log_3 1 = 0$$ 270 1) $$\log_3 \frac{1}{9} = \log_3 3^{-2} = -2$$ 2) $$\log_3 \frac{1}{3} = \log_3 3^{-1} = -1$$ 3) $$\log_3 \sqrt[4]{3} = \log_3 3^{\frac{1}{4}} = \frac{1}{4}$$ 4) $$\log_3 \frac{1}{\sqrt[4]{3}} = \log_3 3^{-\frac{1}{4}} = -\frac{1}{4}$$