1.

The number of real roots of the equation `log_(1//3)(1+sqrt(x))+log_(1//3)(1+x)=2`, is

Answer» Correct Answer - A
We have,
`log_(1//3)(1+sqrt(x))+log_(1//3)(1+x)=2`
`implies -log_(3)(1+sqrt(x))-log_(3)(1+x)=2`
Clearly, LHS is meaningful for `x ge0`. Also, `LHS le0` for all `x ge0` and RHS=0. So, the given equation has no solution.


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