Solve for `x\ : 2(log)_3(x-2)+(log)_3(x-4)^2=0`

Solve for x:(log)_(4)(x^(2)-1)-(log)_(4)(x-1)^(2)=(log)_(4)sqrt((4-x)^(2))

Solve for x:(lg)_(4)(log)_(3)(log)_(2)x=0

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.

Solve for x:(log)_(5)120+(x-3)-2.(log)_(5)(1-5^(x-3))=-(log)_(5)(0.2-5^(x-4))

Solve for x: a) (log_(10)(x-3))/(log_(10)(x^(2)-21)) = 1/2 b) log(log x)+log(logx^(3)-2)= 0, where base of log is 10. c) log_(x)2. log_(2x)2 = log_(4x)2 d) 5^(logx)+5x^(log5)=3(a gt 0), where base of log is 3. e) If 9^(1+logx)-3^(1+logx)-210=0 , where base of log is 3.

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

2^((log)_(2)(x-3))+2(x-3)-12=0

Solve: (log)_(2)(4.3^(x)-6)-(log)_(2)(9^(x)-6)=1

Solve for x:(a) log_(0.3)(x^(2)+8) gt log_(0.3)(9x) , b) log_(7)( (2x-6)/(2x-1)) gt 0