Question

Помогите плиз
$log_{ frac{1}{9} } (2 x - 3) textgreater -1$

Answer 1

log1/9(2x-3)>-1
ОДЗ:
2x-3>0; 2x>3; x>1,5
.............................
log1/9(2x-3)> log1/9(9)
2x-3<9
2x<12
x<6
С учетом ОДЗ: x e (1,5; 6)