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Manipal Engineering Manipal Engineering Solved Paper-2013

  • question_answer
    3 numbers are in GP therefore, their logarithms are in

    A)  GP                        

    B)         HP

    C)  AP                        

    D)         None of these

    Correct Answer: C

    Solution :

    \[a,\,\,b,\,\,c\]are in\[GP\Rightarrow {{b}^{2}}=ac\] taking log on both the sides, we get                 \[2\log b=\log a+\log c\] \[\Rightarrow \]               \[\log b=\frac{\log a+\log c}{2}\] \[\Rightarrow \]               \[\log a,\,\,\log b,\,\,\log c\]are in\[AP\].


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