Results 1 to 3 of 3

Math Help - Natural Logs

  1. #1
    Newbie
    Joined
    Nov 2009
    Posts
    5

    Natural Logs

    Can someone tell me to get e to the other side of the equation you multiply it by ln, as well as the other side. What happens to '-mt' in this instance?

    ((Ti-T0)/(T1-T0))=e^-mt

    Thanks in advance
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Joined
    Oct 2005
    From
    Earth
    Posts
    1,599
    Quote Originally Posted by jimmychoo View Post
    Can someone tell me to get e to the other side of the equation you multiply it by ln, as well as the other side. What happens to '-mt' in this instance?

    ((Ti-T0)/(T1-T0))=e^-mt

    Thanks in advance
    I don't quite understand your post, but the natural log isn't a number that you multiply. You can take the natural log of an expression and when you have an equation you can take the ln of both sides and maintain equality, but it isn't a multiplication process.

    As for the right hand side:

    \ln(e^{-mt})=(-mt)\ln(e)=(-mt)(1)=-mt

    This is applying one of the 3 common log rules to manipulate terms from outside the log with inside.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Nov 2009
    Posts
    5
    That's what I was suppose mean. Take natural log of e, not multiply. Thanks
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. fun with natural logs....
    Posted in the Calculus Forum
    Replies: 2
    Last Post: April 5th 2011, 07:39 AM
  2. Replies: 9
    Last Post: February 22nd 2011, 06:39 PM
  3. Natural logs????
    Posted in the Algebra Forum
    Replies: 4
    Last Post: September 7th 2008, 04:38 AM
  4. Dealing with Logs and Natural Logs
    Posted in the Advanced Algebra Forum
    Replies: 0
    Last Post: April 14th 2008, 07:18 AM
  5. several questions-logs/natural logs
    Posted in the Pre-Calculus Forum
    Replies: 1
    Last Post: November 12th 2007, 09:58 PM

Search Tags


/mathhelpforum @mathhelpforum