A) \[2(a+b)\]
B) \[2(a+b+1)\]
C) \[2(a+b+2)\]
D) \[a+b+4\]
E) \[a+b+1\]
Correct Answer: B
Solution :
Given that, \[{{\log }_{\sqrt{3}}}=5a\]and \[{{\log }_{\sqrt{3}}}2=b\] \[\therefore \] \[{{\log }_{\sqrt{3}}}300={{\log }_{\sqrt{3}}}3+{{\log }_{\sqrt{3}}}100\] \[=2{{\log }_{\sqrt{3}}}\sqrt{3}+2{{\log }_{\sqrt{3}}}5+2{{\log }_{\sqrt{3}}}2\] \[=2(1+a+b)\]You need to login to perform this action.
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