Results 1 to 3 of 3

Math Help - Can't figure out what I'm doing wrong in this logarithm contraction...

  1. #1
    Newbie
    Joined
    Jan 2010
    Posts
    4

    Can't figure out what I'm doing wrong in this logarithm contraction...

    Hey guys --

    I compacted an expression using the base change, power, quotient, and product rules of logarithms -- however, my compacted expression is not evaluating to the same result as the original equation.

    I've looked over this a few times and for the life of me cannot see my mistake -- maybe one of you can?

    Thanks --

    Andrew



    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor

    Joined
    Apr 2005
    Posts
    16,240
    Thanks
    1795
    You have
    \frac{log_2(T^4)}{log_2(8)}
    and then
    log_2(T^4)- log_2(8)

    That is incorrect: the rule is log(a/b)= log(a)- log(b), not log(a)/log(b).

    Instead use the fact that log_2(8)= log_2(2^3)= 3.

    \frac{log_2(T^4)}{log_2(8)}= \frac{1}{3}log_2(T^4)= log_2(T^{4/3})
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Jan 2010
    Posts
    4
    Ah, what a silly mistake. Thanks for catching that.

    (Doing my work at 3 in the morning is a mistake in general)

    Thanks for the help -- I greatly appreciate it. I can already see you make the Math Help Forum a great resource for everyone. Good for you!
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 3
    Last Post: October 21st 2010, 09:46 AM
  2. Replies: 1
    Last Post: August 27th 2010, 02:57 PM
  3. Replies: 4
    Last Post: November 12th 2009, 12:41 PM
  4. Logarithm Problem I can't figure out
    Posted in the Pre-Calculus Forum
    Replies: 4
    Last Post: November 5th 2009, 02:15 PM
  5. Replies: 2
    Last Post: March 30th 2008, 08:40 AM

Search Tags


/mathhelpforum @mathhelpforum