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!

Homework Help: Rearranging x=x0e^-lambda t in the form y=mx+c

  1. Mar 13, 2016 #1
    Hi, How could I rearrange x=x0e^-lambda t into the form y=mx+c, where y is equal to ln x and x is equal to t?

    Thank you in advance

    I tried to solve the problem myself, by taking the natural log of both sides, this left me with:

    ln x = -lambda t * lnx0

    However, I am not sure if this answer is correct or not

    If this is correct, would -lambda represent the gradient? And, would ln x0 represent the y intercept
    Last edited: Mar 13, 2016
  2. jcsd
  3. Mar 13, 2016 #2


    User Avatar
    2017 Award

    Staff: Mentor

    What is h0?
    The logarithm of a product is the sum of logarithms, so you should get ##-\lambda t + \ln(x_0)##.
  4. Mar 13, 2016 #3
    Thank you
  5. Mar 13, 2016 #4
    My mistake h0 was supposed to represent x0
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted