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

Solve log_(0.2)|x-3|>=0

Solve: log_(0.5)(3-x)/(x+2)<0

Solve: 4^(log_(2)x)-2x-3=0

Solve log_(0.2). (x+2)/x le 1 .

Solve :log_(0.3)(x^(2)-x+1)>0

If log_(0,2)(x-1)>log_(0.04)(x+5) then

Solve log_(10)(x^(2)-2x-2) le 0 .

Solve for x: log_(4) log_(3) log_(2) x = 0 .

Solve: log_0.1 (x^2 + x - 2) > log_0.1 (x+3)

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