A) 2
B) 3
C) 1
D) None of these
Correct Answer: D
Solution :
We have \[\frac{\log 5+\log ({{x}^{2}}+1)}{\log (x-2)}=2\] Þ \[\log \{5({{x}^{2}}+1)\}=\log {{(x-2)}^{2}}\Rightarrow 5({{x}^{2}}+1)={{(x-2)}^{2}}\] \[\Rightarrow \] \[4{{x}^{2}}+4x+1=0\Rightarrow x=-\frac{1}{2}\] But for \[x=-\frac{1}{2}\log (x-2)\] is not meaningful. Hence it has no root.You need to login to perform this action.
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