Solve (i)`log_2 (x-1)gt4` (ii) `log_3 (x-2)le2`

Solve log_(2)(x-1) gt 4 .

Solve log(-x)=2log(x+1)

Solve (i) log_(0.2) |x-3|ge0 (ii) log_(0.5) ((3-x)/(x+2))lt0

Solve log_(3x -2) x^(2) gt log _(3x-2) (3x -2)

Solve the following inequalities (i) log_(5)(3x-1) lt 1 (ii) (log_(.5)x)^(2)+log_(.5)x-2 le 0 (iii) log_(3)(x+1)+log_(3)(x+7) ge 3 (iv)log_(1//2)log_(3)(x^(2)+5)+1 le 0

Solve log_(2).(x-1)/(x-2) gt 0 .

Solve : log_2 (4-x) = 4 - log_2 (-2-x)

Solve the following equations : (i) log_(x)(4x-3)=2 (ii) log_2)(x-1)+log_(2)(x-3)=3 (iii) log_(2)(log_(8)(x^(2)-1))=0 (iv) 4^(log_(2)x)-2x-3=0

Solve log_(3)|x|gt 2 .

Solve: log_2 (4/(x+3)) > log_2 (2-x)