Results 1 to 4 of 4

Math Help - How was this result found

  1. #1
    Newbie
    Joined
    Jan 2011
    Posts
    8

    How was this result found

    In the "Foundation Maths" book, chapter (20), "The Logarithm Function", I'm just having an issue of understanding how we got the result in the following (I have used "^" for power):

    log (1/2)^-1/2 = log2^1/2

    Thanks.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    -1
    e^(i*pi)'s Avatar
    Joined
    Feb 2009
    From
    West Midlands, England
    Posts
    3,053
    Thanks
    1
    Standard rules of exponents - the log term is a red herring for this part

    a^{-b} = \dfrac{1}{a^b} = \left(\dfrac{1}{a}\right)^b

    In your case a= \dfrac{1}{2} and b = \dfrac{1}{2}

    \left(\dfrac{1}{2}\right)^{-1/2} = \left(\dfrac{1}{\frac{1}{2}}\right)^{1/2} = 2^{1/2}
    Follow Math Help Forum on Facebook and Google+

  3. #3
    MHF Contributor

    Joined
    Aug 2006
    Posts
    18,610
    Thanks
    1576
    Awards
    1
    Quote Originally Posted by SWEngineer View Post
    In the "Foundation Maths" book, chapter (20), "The Logarithm Function", I'm just having an issue of understanding how we got the result in the following (I have used "^" for power): log (1/2)^-1/2 = log2^1/2
    \log \left( {2^{\frac{{ - 1}}{2}} } \right) = \frac{1}{2}\left[ {\log (2) - \log (1)} \right] = \log \left( {2^{\frac{1}{2}} } \right)
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Newbie
    Joined
    Jan 2011
    Posts
    8
    Thanks a lot for your replies.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. I have found the pattern to primes.
    Posted in the Number Theory Forum
    Replies: 4
    Last Post: July 7th 2011, 03:20 AM
  2. [SOLVED] Almost found limit of sum
    Posted in the Calculus Forum
    Replies: 2
    Last Post: September 30th 2010, 05:21 AM
  3. Just found this website
    Posted in the Math Forum
    Replies: 0
    Last Post: July 1st 2010, 07:19 AM
  4. restricted command found (def)
    Posted in the LaTeX Help Forum
    Replies: 0
    Last Post: October 9th 2008, 09:27 AM
  5. new mathematical object found
    Posted in the Math Forum
    Replies: 3
    Last Post: June 2nd 2008, 06:20 PM

Search Tags


/mathhelpforum @mathhelpforum