We have been given that

We need to find the domain.

For log g(x) (f(x)) is defined when f(x)>0 and g(x)> 0, g(x) 1.

Now let us take different cases.

From , , we can tell that there is no intersection, no solution

Case II:

Hence there are total 6 integers {-2, -1,0,1,2,3}.

Hence this is the required option.

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