Solve: `(x-1)/((log)_3(9-3^x)-3)lt=1.`

Solve (x-1)/(log_(3)(9-3^(x))- 3) le 1 .

Solve the following inequalities (i) |log_(3)x|-log_(3)x-3 lt 0 (ii)(x-1)/(log_(3)(9-3^(x))-3) le 1 (iii)log_((x-1)/(x-5))(x-2) gt 0 (iv) log_(x)(x^(3)-x^(2)-2x) lt 3

Solve : (1)/(x-3)lt 0

log_(x)(log_(9)(3^(x)-9))<1

Solve log_2(4xx3^x-6)-log_2(9^x-6)=1 .

Solve log_(4)(x-1)= log_(2) (x-3) .

Solve :log_(3)(1+log_(3)(2^(x)-7))=1

Solve :2(log)_(3)x-4(log)_(x)27 1)

Solve the inequation: (x-1)/(x-3)lt1

Solve : 3^((log_(9)x))xx2=3sqrt(3)