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  • Question
  • The Value of logtan10+logtan20+??+logtan890 is


  • Options
  • A. -1
  • B. 0
  • C. 1/2
  • D. 1

  • Correct Answer


  • Explanation

    =   log   tan 1 0 + log   tan 89 0   +   log   tan 2 0 +   log   tan 88 0 + ? ? + log   tan 45 0   

     

    =   log   [ tan 1 0   ×   tan 89 0 ]   +   log   [ tan 2 0   ×   tan 88 0   ]   + ? ? + log 1   

     

    ?   tan ( 90 - ? ) = c o t ?   a n d   tan   45 0 = 1   

     

    = log 1 + log 1 +.....+log 1 

     

    = 0.

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

    Logarithm problems


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    • 1. Find value of log27 +log 8 +log1000log 120

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

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

    • Options
    • A. 1
    • B. 3
    • C. 5
    • D. 10
    • Discuss
    • 4. 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
    • 5. Solve the equation 122x+1 = 1 ?

    • Options
    • A. -1/2
    • B. 1/2
    • C. 1
    • D. -1
    • Discuss
    • 6. The value of 13log10125 - 2log104 + log1032 :

    • Options
    • A. 0
    • B. 1
    • C. 2
    • D. 4/5
    • Discuss
    • 7. If a2+b2 = c2 , then 1logc+ab + 1logc-ab = ?

    • Options
    • A. 1
    • B. 2
    • C. 4
    • D. 8
    • Discuss
    • 8. 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
    • 9. 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
    • 10. Find x if log1218 = log24x + 1. log24x+1 + 4

    • Options
    • A. 0
    • B. 1
    • C. 2
    • D. None of these
    • Discuss


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