Results 1 to 7 of 7

Math Help - Exponential and Logarithmic Equations

  1. #1
    Newbie
    Joined
    Nov 2008
    Posts
    5

    Question Exponential and Logarithmic Equations

    Hi. I am extremely confused with this question:

    Express the function N(r) = -5000 ln r in its equivalent exponential form. Give a complete explanation of how an exponential equation is related to its equivalent logarithmic equation.

    I am curious as to how to convert the logarithmic equation to its equivalent exponential equation.
    I was assigned this today and I have a test tomorrow on similar material.

    Any help would be greatly appreciated. Thanks.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    skeeter's Avatar
    Joined
    Jun 2008
    From
    North Texas
    Posts
    11,740
    Thanks
    478
    if a = \log_b{c} , then b^a = c
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Nov 2008
    Posts
    5
    thanks, but how would I be able to convert N(r) = -5000 ln r to ? what does A, B, and C equal? Thanks
    Follow Math Help Forum on Facebook and Google+

  4. #4
    MHF Contributor
    skeeter's Avatar
    Joined
    Jun 2008
    From
    North Texas
    Posts
    11,740
    Thanks
    478
    -\frac{N}{5000} = \log_e{r}
    Follow Math Help Forum on Facebook and Google+

  5. #5
    Newbie
    Joined
    Nov 2008
    Posts
    5
    so, let me get this straight:

    The function N(r) = -5000 ln r is equivalent to the exponential form of e^-(N/5000) = r. This is gathered through several steps. First, keeping in mind that a = logbc = b^a = c, one gains the knowledge that –(N/5000) is equal to loger when applied to the logarithmic equation of N(r) = -5000 ln r.

    Is this right?
    Follow Math Help Forum on Facebook and Google+

  6. #6
    MHF Contributor
    skeeter's Avatar
    Joined
    Jun 2008
    From
    North Texas
    Posts
    11,740
    Thanks
    478
    Quote Originally Posted by contristo View Post
    so, let me get this straight:

    The function N(r) = -5000 ln r is equivalent to the exponential form of e^-(N/5000) = r.

    Is this right?
    yes
    Follow Math Help Forum on Facebook and Google+

  7. #7
    Newbie
    Joined
    Nov 2008
    Posts
    5
    thank you. I appreciate the help.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Exponential and logarithmic equations
    Posted in the Algebra Forum
    Replies: 7
    Last Post: May 3rd 2011, 07:28 AM
  2. Exponential and Logarithmic Equations
    Posted in the Pre-Calculus Forum
    Replies: 1
    Last Post: April 1st 2010, 08:11 PM
  3. Exponential and Logarithmic Equations
    Posted in the Pre-Calculus Forum
    Replies: 3
    Last Post: December 14th 2009, 05:41 AM
  4. [SOLVED] Exponential and Logarithmic Equations
    Posted in the Pre-Calculus Forum
    Replies: 1
    Last Post: February 6th 2009, 10:16 AM
  5. Exponential and Logarithmic Equations
    Posted in the Pre-Calculus Forum
    Replies: 3
    Last Post: June 15th 2006, 12:08 PM

Search Tags


/mathhelpforum @mathhelpforum