Logarithmic difficult problem

Discussion in 'Math' started by redacejr, Nov 23, 2010.

  1. redacejr

    Thread Starter Active Member

    Apr 22, 2008
    85
    0
    log (base 2) x + log (base x) 2 = 2




    help i am stuck , assignment tomorrow :(
     
  2. jpanhalt

    AAC Fanatic!

    Jan 18, 2008
    5,672
    899
    What happens if x =2?

    John

    Edit: Hint, look at the formula for changing the log base.
     
  3. krishna chaitanya

    New Member

    Nov 8, 2010
    5
    0
    let Y= log (base 2) x
    then log (base x) 2 = 1/Y
    =>
    Y + 1/Y =2... solve it..
    Y^2-2Y+1=0
    Y=1,1
    so..log (base 2) x =1
    x=2 is the ans...
    u can say it by seeing...
    but this the solution
     
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