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If f(x)=|log_(10)x| then at x=1

The domain of the function f(x)=log_(2x-1)(x-1) is

f(x) = log(x^(2)+2)-log3 in [-1,1]

f(x) = log(x^(2)+2)-log3 in [-1,1]

If f(x)=log((1+x)/(1-x)) , then f((2x)/(1+x^2)) equal to:

If f(x) is continuous at x=1 , where f(x)=(log_(2)2x)^(1/(log_(2)x) , for x!=1 , then f(1)=

If f(x) = log_e ((1-x)/(1+x)) , then f' (0) is

Function f(x)= {((log_(2)2x)^(log_(x)8),x ne 1),((k-1)^(3),x=1):} is continuous at x=1, then k= ____

Which of the following pairs of expression are defined for the same set of values of x?f_(1)(x)=2log_(2)x and f_(2)(x)=log_(10)x^(2)f_(1)(x)=log_(x)x^(2) and f_(2)(x)=2f_(1)(x)=log_(10)(x-2)+log_(10)(x-3) and f_(2(x))=log_(10)(x-2)(x-3)