1. Limited time only! Sign up for a free 30min personal 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!

Induction proof involving log(m+1) terms

  1. Aug 31, 2010 #1
    Any suggestions on how to simplify the log (m+1) terms that arise when proving the following statement using induction for m >= 1? (log to the base 2)

    [PLAIN]http://dl.dropbox.com/u/471735/recurrence%202.png [Broken]
     
    Last edited by a moderator: May 4, 2017
  2. jcsd
  3. Sep 2, 2010 #2
    You don't need to use induction, because there is a straightforward method: note that log(m/2) = log(m) - 1 so your disequation becomes simply log(m) > 1 which is obvious for m > 1.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Induction proof involving log(m+1) terms
  1. Proof by induction (Replies: 0)

  2. Proof by Induction (Replies: 9)

  3. Induction Proof (Replies: 5)

  4. Induction Proof (Replies: 1)

Loading...