Log6 (4x^2 - 18x) = 2
log6 (4x^2 - 18x) = log6 (36)
ОДЗ
4x^2 - 18x > 0
x ∈ ( - ∞; 0) ∪ (4,5; + ∞)
4x^2 - 18x = 36
4x^2 - 18x - 36 = 0 /:2
2x^2 - 9x - 18 = 0
D = 225 = 15^2
x1 = ( 9 + 15)/4 = 6
x2 = ( 9 - 15)/4 = - 1,5
Ответ
- 1,5; 6
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log3 ( - x + 5) < 3
log3 (- x+ 5 ) < log3 (27)
ОДЗ
x < 5
- x + 5 < 27
- x < 22
x > - 22
+ ОДЗ
x ∈ ( - 22; 5)
Ответ
x ∈ ( - 22; 5)