1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Another logarithm simplification exercise.

  1. Aug 7, 2011 #1
    1. The problem statement, all variables and given/known data

    Write the quantity using sums and differences of simpler logarithmic expressions. Express the answer so that logarithms of products, quotients, and powers do not appear.

    [tex]log_{10}\frac{3}{\sqrt{1+x}}[/tex]


    2. Relevant equations



    3. The attempt at a solution

    2czc1sh.jpg

    The book's answer, however, is [tex]3log_{10}x-\frac{1}{2}log_{10}(1+x)[/tex]

    Thanks in advance!
     
  2. jcsd
  3. Aug 7, 2011 #2

    PeterO

    User Avatar
    Homework Helper

    Check the original question to make sue the numerator is just 3 and not an exponential
     
  4. Aug 7, 2011 #3
    Hi, thanks for the reply.

    No, the original equation is as appears.
     
  5. Aug 7, 2011 #4

    eumyang

    User Avatar
    Homework Helper

    Must be a typo in the book, then. Possibly whoever typed up the answer key thought that the problem was
    [tex]log_{10}\frac{x^3}{\sqrt{1+x}}[/tex]
     
  6. Aug 7, 2011 #5
    Oh, so I'm right? How anti-climatic...

    Thanks again.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Another logarithm simplification exercise.
  1. Logarithm exercise (Replies: 4)

Loading...