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  • Question
  • The value of x satisfying the following relation: log12x = log23x-2


  • Options
  • A. 1/3
  • B. -1/3
  • C. 3
  • D. None of these

  • Correct Answer
  • None of these 

    Explanation

    But at x=-1/3, log x is not defined.

     

    The only admissible value of x is 1.

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    Logarithm problems


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    • 1. It is given that log10 2= 0.301 and log10 3 = 0.477. How many digits are there in (108)10 ?

    • Options
    • A. 19
    • B. 20
    • C. 21
    • D. 22
    • Discuss
    • 2. The value of log55log49log32 is :

    • Options
    • A. 1
    • B. 3/2
    • C. 2
    • D. 5
    • Discuss
    • 3. Find x if log1218 = log24x + 1. log24x+1 + 4

    • Options
    • A. 0
    • B. 1
    • C. 2
    • D. None of these
    • Discuss
    • 4. Which of the following statements is not correct?

    • Options
    • A. log10 = 1
    • B. log (2 + 3) = log (2 x 3)
    • C. log1 = 0
    • D. log (1 + 2 + 3) = log 1 + log 2 + log 3
    • Discuss
    • 5. If log330 = 1a and log530=1b then the value of 3log302 is:

    • Options
    • A. 3(1+a+b)
    • B. 2(1-a-b)
    • C. 3(1-a-b)
    • D. 3(1+a-b)
    • Discuss
    • 6. The value of log2log5625 is :

    • Options
    • A. 2
    • B. 5
    • C. 10
    • D. 15
    • Discuss
    • 7. If a = bx, b = cy and c = az then the value of xyz is equal to :

    • Options
    • A. -1
    • B. 0
    • C. 1
    • D. abc
    • Discuss
    • 8. The number of solutions of the equation logx2x2+40log4xx-14log16xx3=0 is:

    • Options
    • A. 0
    • B. 1
    • C. 2
    • D. 3
    • Discuss
    • 9. If a, b, c be the pth, qth and rth terms of a GP then the value of (q-r) log a + (r-p) log b + (p-q) log c is :

    • Options
    • A. 0
    • B. 1
    • C. -1
    • D. pqr
    • Discuss
    • 10. The value of log3437 is :

    • Options
    • A. 1/3
    • B. -3
    • C. -1/3
    • D. 3
    • Discuss


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