Log4(8*4√8)= log4(16) + log4(2√8) = 2 + 1/2 + 4/3 = 23/6
12 - 3х = 4х - 8
12 + 8 = 4х + 3х
20 = 7х
х = 20 : 7
х = 2 6/7
Раскроем модуль
ОДЗ
x > - 1,5
- 3< log2 (2x + 3) < 3
log 2(1/8) < log 2 (2x+ 3) < log2 8
1/8 < 2x +3 < 8
1/8 - 3 < 2x < 8 - 3
- 23/8 < 2x < 5 /:2
- 23/16 < x < 2,5
- 1,4375 < x < 2,5
+ ОДЗ
- 1,4375 < x < 2,5