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

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

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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

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Which of the following pairs of expression are defined for the same set of values of x ? f_1(x)=2(log)_2xa n df_2(x)=(log)_(10)x^2 f_1(x)=(log)_xx^2a n df_2(x)=2 f_1(x)=(log)_(10)(x-2)+(log)_(10)(x-3)a n df_(2(x))=(log)_(10)(x-2)(x-3)dot

Which of the following pairs of expression are defined for the same set of values of x ? f_1(x)=2(log)_2xa n df_2(x)=(log)_(10)x^2 f_1(x)=(log)_xx^2a n df_2(x)=2 f_1(x)=(log)_(10)(x-2)+(log)_(10)(x-3)a n df_(2(x))=(log)_(10)(x-2)(x-3)dot

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

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))

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