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  • Question
  • 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

  • Correct Answer
  • x < y 

    Explanation

    Given log( x - 5) = log(x) - log(5)
    ? x -5 = x/5
    ? x = 25/ 4 ....(i)

    Again from question
    log(y - 6) = log(y) - log(6)
    ? y - 6 = y/6
    ? y = 36/5 ...(ii)

    From equations (i) & (ii) x < y


  • Logarithm problems


    Search Results


    • 1. 
      Find the no. of digits in 8 57 (given that log 102 = 0.3010)

    • Options
    • A. 52
    • B. 50
    • C. 51
    • D. 53
    • Discuss
    • 2. 
      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
    • 3. 
      If A = log 27625 + 7log 1113 and B = log 9125 + 13log 107 then which of the following is true?

    • Options
    • A. A > B
    • B. A < B
    • C. A =B
    • D. can't say
    • Discuss
    • 4. 
      The value of log an / log abn is given by?

    • Options
    • A. 1 + logab
    • B. 1 + logb a
    • C. loga b
    • D. logb a
    • Discuss
    • 5. 
      If 10 x = 1.73 and log 10 1730 = 3.2380, then x is equal to?

    • Options
    • A. 1.2380
    • B. 0.2380
    • C. 2.380
    • D. 2.2380
    • Discuss
    • 6. 
      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
    • 7. 
      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
    • 8. 
      If log xy = 100 and log 2x = 10 then the value of y is?

    • Options
    • A. 210
    • B. 21000
    • C. 2100
    • D. 210000
    • Discuss
    • 9. 
      If log x4 = 0.4 then the value of x is?

    • Options
    • A. 4
    • B. 16
    • C. 1
    • D. 32
    • Discuss
    • 10. 
      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


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