`((log)_(10)(x-3))/((log)_(10)(x^2-21))=1/2`

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 the following equations. (viii) (log10(x-3))/log_(10)(x^2-21)=1/2

Value of x satifying (log)_(10)sqrt(1+x)+3(log)_(10)sqrt(1-x)=(log)_(10)sqrt(1-x^(2))+2 is a.0

log_(10)x-(1)/(2)log_(10)(x-(1)/(2))=log_(10)(x+(1)/(2))-(1)/(2)log_(10)(x+(1)/(8))

(x-2)^(log_(10)^(2)(x-2)+log_(10)(x-2)^(5)-12)=10^(2log_(10)(x-2))

Solve |x-1|^((log_(10)x)^(2)-log_(10)x^(2))=|x-1|^(3)

Solve: |x-1|^((log_(10)x)^(2)-log_(10)x^(2))=|x-1|^(3)

Solution set of (log_(10)(100x))^(2)+(log_(10)(10x))^(2)+log_(10)(x)<=14

Find the domain of the function: f(x)=sqrt((log)_(10){((log)_(10)x)/(2(3-(log)_(10)x))})

The equation (log_(10)x+2)^(3)+(log_(10)x-1)^(3)=(2log_(10)x+1)3