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  • Question
  • If log xy = 100 and log 2x = 10 then the value of y is?


  • Options
  • A. 210
  • B. 21000
  • C. 2100
  • D. 210000

  • Correct Answer
  • 21000 

    Explanation

    logxy =100, log2x = 10
    ? log y / log x = 100 and log x / log 2 = 10
    ? log y / log 2 = 100 x 10 = 1000
    ? log2y = 1000
    ? y = 21000


  • Logarithm problems


    Search Results


    • 1. 
      If a x = b, b y = c, c z = a, then the value of xyz is?

    • Options
    • A. 0
    • B. 1
    • C. 2
    • D. 4
    • Discuss
    • 2. 
      If log (x + 4) = log(4) + log(x) and log (x + 6) = log (6) then which of the following correct?

    • Options
    • A. x = y
    • B. x < y
    • C. x > y
    • D. Can't say
    • Discuss
    • 3. 
      If log(x - 5) = log(x) - log(5) and log(y - 6) = log(y) - log(6) then which of the following is correct?

    • Options
    • A. x > y
    • B. x < y
    • C. x = y
    • D. Can't say
    • Discuss
    • 4. 
      Find the no. of digits in 8 57 (given that log 102 = 0.3010)

    • Options
    • A. 52
    • B. 50
    • C. 51
    • D. 53
    • Discuss
    • 5. 
      Find the number of digits in 8 10? (Given that log 10 2 = 0.3010)

    • Options
    • A. 19
    • B. 20
    • C. 17
    • D. 10
    • Discuss
    • 6. 
      If log x4 = 0.4 then the value of x is?

    • Options
    • A. 4
    • B. 16
    • C. 1
    • D. 32
    • Discuss
    • 7. 
      If log 1227 =a then log 616 is?

    • Options
    • A. 4(3 - a) / 3 + a
    • B. 4(3 + a) / 3 - a
    • C. 3 + a / 4(3 - a)
    • D. 3 - a / 4(3 + a)
    • Discuss
    • 8. 
      If log (0.57) = 1756, then the value of log 57 + log (0.57) 3 + log ? 0.57 is?

    • Options
    • A. 0.902
    • B. 1.902
    • C. 1.146
    • D. 2.146
    • Discuss
    • 9. 
      (log tan1°. log tan2° ............. log tan50°) is?

    • Options
    • A. 0
    • B. 1
    • C. 2
    • D. - 1
    • Discuss
    • 10. 
      The mantissa of log 3274 is 0.5150, then the value of log 32.74 is?

    • Options
    • A. 1.5150
    • B. 2.5150
    • C. 0.5150
    • D. 1.5150
    • Discuss


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