Multiple Choice Questions on Given 9a2 4b2 18ab then log 3a 2b is equal to ........ for NDA Exam Preparation

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Multiple Choice Questions

Given 9a2 4b2 18ab then log 3a 2b is equal to ........

Mathematics (NDA) Logarithm
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    Given 9a2 + 4b2  =18ab ,then log(3a+2b) is equal to?

    1/2[log30ab]

    Correct Answer

    [log30ab]

    Incorrect Answer

    [log24ab]

    Incorrect Answer

    1/2[log24ab]

    Incorrect Answer
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    Explanation:

     9a2 + 4b2  =18ab

    (3a)2  + (2b)2 +12ab=30ab

    (3a+2b)2  =30ab

    2log(3a+2b)=log30ab

    log(3a +2b)=1/2[log30ab]

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