InterviewSolution
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InterviewSolution
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The number of solutions of the equation `log_(3)(3+sqrt(x))+log_(3)(1+x^(2))=0`, is |
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Answer» Correct Answer - A Clearly, the given equation is meaningful for `x ge0`. We observe that `3+sqrt(x) gt 3` and `1+x^(2) gt 1` for all `x gt 0` `implies log_(3)(3+sqrt(x)) gt 1` and `log_(3)(1+x^(2)) gt 0` for all ` x gt 0` `implies log_(3)(3+sqrt(x))+log_(3)(1+x^(2)) gt 0 ` for all ` xge0` Hence, the given equation has no solution. |
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