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  • Question
  • If a2+b2 = c2 , then 1logc+ab + 1logc-ab = ?


  • Options
  • A. 1
  • B. 2
  • C. 4
  • D. 8

  • Correct Answer


  • Explanation

    Given  a 2   +   b 2   =   c 2

     

    Now   1 log c + a b     +   1 log c - a b  

     

    log b c + a   +   log b c - a

     

    log b c 2 - a 2

    2 log b b   =   2

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    Logarithm problems


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    • 1. The value of 13log10125 - 2log104 + log1032 :

    • Options
    • A. 0
    • B. 1
    • C. 2
    • D. 4/5
    • Discuss
    • 2. The Value of logtan10+logtan20+??+logtan890 is

    • Options
    • A. -1
    • B. 0
    • C. 1/2
    • D. 1
    • Discuss
    • 3. Find value of log27 +log 8 +log1000log 120

    • Options
    • A. 1/2
    • B. 3/2
    • C. 2
    • D. 2/3
    • Discuss
    • 4. What is the characteristic of the logarithm of 0.0000134?

    • Options
    • A. 5
    • B. -5
    • C. 6
    • D. -6
    • Discuss
    • 5. if log105+log5x+1=log10(x+5)+1,then x is equal to

    • Options
    • A. 1
    • B. 3
    • C. 5
    • D. 10
    • Discuss
    • 6. 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
    • 7. 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
    • 8. Find x if log1218 = log24x + 1. log24x+1 + 4

    • Options
    • A. 0
    • B. 1
    • C. 2
    • D. None of these
    • Discuss
    • 9. The value of log55log49log32 is :

    • Options
    • A. 1
    • B. 3/2
    • C. 2
    • D. 5
    • Discuss
    • 10. 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


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