Задание 1
1) 2 корня 8 и -5
2) 2 корня -1 и -6
2х = 3+0
2х = -3
х = -3÷2
<span>х = -1,5</span>
Lg³x² =8lgx
2lg³x =8lgx
lg³x - 4lgx = 0
lgx · (lg²x - 4) = 0
lgx · (lgx - 2) (lgx + 2) = 0
1) lgx = 0 → x = 1
2) lgx - 2 = 0 → lgx = 2 → x = 100
3) lgx + 2 = 0 → lgx = -2 → x = 0.01
Ответ: 0,01; 1; 100