Solve `(log)_(0. 2)|x-3|geq0.`

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

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

Solve log_(0.04)(x-1)>=log_(0.2)(x-1)

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

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

Solve log_(x-2)(3x^2-x-1)>0 .

Solve log_(x)(x^(2)-1) le 0 .

Solve 4^((log)_(9)x)-6x^((log)_(9)2)+2^((log)_(3)27)=0

Solve : sqrt(1+log_(0.04)x)+sqrt(3+log_(0.2)x)=1

Solve for x, (a) (log_(10)(x-3))/(log_(10)(x^(2)-21))=(1)/(2),(b)log(log x)+log(log x^(3)-2)=0; where base of log is 10 everywhere.