Задача Задача №3803439
А
А
решы все
Сверь числа и знаки с фото.
УРАВНЕНИЯ С СУММОЙ И РАЗНОСТЬЮ ЛОГАРИФМОВ
- \(\log_2(x+1)+\log_2(x-1)=3\)
- \(\log_4(x)+\log_4(x-3)=2\)
- \(\log_2 x+\log_2(x+2)=3\)
- \(\log_3 x-\log_3(x-2)=1\)
- \(\log_2(x+5)-\log_2(x-1)=2\)
- \(\log_2 x+\log_2(x-3)=3\)
- \(\log_2(x+2)+\log_2(x-2)=3\)
- \(\log_3(x+2)-\log_3(x-2)=1\)
- \(\log_5(x+3)+\log_5(x-3)=2\)
- \(\log_2 x+\log_4 x=6\)
- \(\log_3 x+\log_9 x=3\)
- \(\log_2 x+\log_2 3=3\)
- \(\log_3 x+\log_3 2=2\)
- \(\log_5 x+\log_5 4=1\)
- \(\log_2(x+1)+\log_2 2=3\)
- \(\log_3(x-2)+\log_3 3=2\)
- \(\log_2 x-\log_2 2=1\)
- \(\log_3 x-\log_3 3=-1\)
- \(\log_5 x-\log_5 5=0\)
- \(\log_2(x+3)-\log_2 2=2\)
- \(\log_3(x-1)-\log_3 3=1\)
- \(\log_2 x+\log_2(x-1)=3\)
- \(\log_3(x+2)-\log_3(x-2)=1\)
- \(\log_5(x+3)+\log_5(x-3)=2\)
- \(\log_2 x+\log_2(x-2)=3\)
- \(\log_2(x+3)+\log_2(x-1)=4\)
- \(\log_3(2x+1)+\log_3(x-2)=3\)
- \(\log_2 x-\log_2(x-2)=1\)
- \(\log_5(x+3)-\log_5(x-1)=1\)
- \(\log_2(x-1)-\log_2(x+1)=-1\)
- \(\log_3(2x-1)-\log_3(x+2)=0\)
С учётом ОДЗ (посторонние корни отброшены):
| № | \(x\) | № | \(x\) |
|---|---|---|---|
| 1 | \(3\) | 17 | \(4\) |
| 2 | \(\frac{3+\sqrt{73}}{2}\) | 18 | \(1\) |
| 3 | \(2\) | 19 | \(5\) |
| 4 | \(3\) | 20 | \(5\) |
| 5 | \(3\) | 21 | \(10\) |
| 6 | \(\frac{3+\sqrt{41}}{2}\) | 22 | \(\frac{1+\sqrt{33}}{2}\) |
| 7 | \(2\sqrt{3}\) | 23 | \(4\) |
| 8 | \(4\) | 24 | \(\sqrt{34}\) |
| 9 | \(\sqrt{34}\) | 25 | \(4\) |
| 10 | \(16\) | 26 | \(2\sqrt{5}-1\) |
| 11 | \(9\) | 27 | \(\frac{3+\sqrt{241}}{4}\) |
| 12 | \(\frac{8}{3}\) | 28 | \(4\) |
| 13 | \(\frac{9}{2}\) | 29 | \(2\) |
| 14 | \(\frac{5}{4}\) | 30 | \(3\) |
| 15 | \(3\) | 31 | \(3\) |
| 16 | \(5\) |
