Multiple Choice Questions on If log 2 a log 3 b and log 5 c then the value of log 9 times v50 ........ for Mathematics - All Exams Preparation

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Multiple Choice Questions

If log 2 a log 3 b and log 5 c then the value of log 9 times v50 ........

Quantitative Aptitude (CDS) Logarithm
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    If log 2 = a , log 3 = b and log 5 = c , then the value of log ( 9 × v50 ) ?

    2c + ½ b + c

    Incorrect Answer

    2b + c + 1/2a

    Correct Answer

    2a + b + 1/2c

    Incorrect Answer

    abc

    Incorrect Answer
    Explanation:

    log ( 9 × v50 )= log {3^2 ×( 5^2 × 2 ) ^1/2 }
    = log 3^2 + 1/2log ( 5^2 × 2 )
    = 2log 3 + 1/2{ log ( 5^2 )+log( 2 ) }
    = 2log3 + 2/2log 5 + 1/2log 2
    = 2b + c + 1/2a

    By: bhavesh kumar singh
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