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  • Question
  • What is the number of digits in 333 ? Given that log3 = 0.47712?


  • Options
  • A. 12
  • B. 13
  • C. 14
  • D. 15

  • Correct Answer
  • 13 

    Explanation

     Let    L e t   x = 3 3 3   3 3 3

     

     Then,  log x   =   3 3   log 3   

     

    = 27 x 0.47712 = 12.88224 

     

    Since the characteristic in the resultant value of log x is 12

     

    ? The number of digits in x is (12 + 1) = 13 

     

    Hence the required number of digits in  3 3 3 is 13.

  • Tags: AIEEE, Bank Exams, CAT, Bank Clerk, Bank PO

    Logarithm problems


    Search Results


    • 1. If log8x = 313 then find the value of x?

    • Options
    • A. 25
    • B. 32
    • C. 37
    • D. None of these
    • Discuss
    • 2. The value of 1log360+1log460+1log560is

    • Options
    • A. 0
    • B. 1
    • C. 5
    • D. 60
    • Discuss
    • 3. A fast moving superfast express crosses another pasenger train in 20 seconds. The speed of faster train is 72 km/hr and speeds of slower train is 27 km/h. Also the length of faster ntrain is 100m, then find the length of the slower train if they are moving in the same direction.

    • Options
    • A. 100 m
    • B. 125 m
    • C. 150 m
    • D. 175 m
    • Discuss
    • 4. If log 64 = 1.8061, then the value of log 16 will be (approx)?

    • Options
    • A. 1.9048
    • B. 1.2040
    • C. 0.9840
    • D. 1.4521
    • Discuss
    • 5. If logxl+m-2n = logym+n-2l = logzn+l-2m , then xyz is equal to

    • Options
    • A. 0
    • B. 1
    • C. lmn
    • D. 2
    • Discuss
    • 6. if logab+logba=loga+b,then

    • Options
    • A. a + b = 1
    • B. a - b = 1
    • C. a = b
    • D. ab=1
    • Discuss
    • 7. The least value of the expression 2log10x - logx1100 for x>1 is:

    • Options
    • A. 2
    • B. 3
    • C. 4
    • D. 5
    • Discuss
    • 8. Solve the equation 122x+1 = 1 ?

    • Options
    • A. -1/2
    • B. 1/2
    • C. 1
    • D. -1
    • Discuss
    • 9. For x?N, x>1 , and p=logxx+1 , q=logx+1x+2 then which one of the following is correct?

    • Options
    • A. p < q
    • B. p = q
    • C. p > q
    • D. can't be determined
    • Discuss
    • 10. if log105+log5x+1=log10(x+5)+1,then x is equal to

    • Options
    • A. 1
    • B. 3
    • C. 5
    • D. 10
    • Discuss


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