Log1/3(2x-3)=log1/3(18-6x)

Question

Log1/3(2x-3)=log1/3(18-6x)

Answer 1

ОДЗ
Решим систему 
2x - 3 > 0
18 - 6x > 0

2x >3
- 6x > - 18

x > 1,5
x < 3

Получим
x ∈ (1,5; 3 )

2x - 3 = 18 - 6x
2x + 6x = 18 + 3
8x = 21
x = 2,625