Results 1 to 2 of 2

Math Help - need help on solving exponential equations!

  1. #1
    Newbie
    Joined
    Sep 2007
    Posts
    19

    need help on solving exponential equations!

    heres the question, A mummified human body was recently found in a Scandinavian bog. Radioactive carbon was used to find the age of the mummy.
    The amount of carbon-14 had decayed to 4^-1/3 of its original amount. The half life of carbon-14 is about 5370 years. For how long has the mummy been dead?
    I know you use y=ab^x but i dont know how u use it for this question.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Joined
    Aug 2007
    From
    USA
    Posts
    3,111
    Thanks
    2
    Quote Originally Posted by zarlock99 View Post
    heres the question, A mummified human body was recently found in a Scandinavian bog. Radioactive carbon was used to find the age of the mummy.
    The amount of carbon-14 had decayed to 4^-1/3 of its original amount. The half life of carbon-14 is about 5370 years. For how long has the mummy been dead?
    I know you use y=ab^x but i dont know how u use it for this question.
    Plug it what is known.

    \frac{a}{2}\;=\;a*b^{4270}

    \frac{1}{2}\;=\;b^{4270}

    b\;=\;\left(\frac{1}{2}\right)^{-4270}

    Apply the mystery

    a*(4^{-1/3})\;=\;a*b^{x}

    Solve for x
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Solving Exponential Equations
    Posted in the Algebra Forum
    Replies: 9
    Last Post: May 25th 2013, 11:42 AM
  2. Solving Exponential Equations
    Posted in the Algebra Forum
    Replies: 2
    Last Post: February 25th 2011, 03:29 PM
  3. Solving Exponential Equations
    Posted in the Algebra Forum
    Replies: 4
    Last Post: March 21st 2010, 03:19 PM
  4. Solving Exponential Equations
    Posted in the Algebra Forum
    Replies: 4
    Last Post: October 6th 2009, 08:10 PM
  5. Solving Exponential Equations
    Posted in the Pre-Calculus Forum
    Replies: 2
    Last Post: April 23rd 2009, 02:33 AM

Search Tags


/mathhelpforum @mathhelpforum