Solving Newtons Cooling Law: LnT = -kt +LnC

AI Thread Summary
Newton's cooling law is represented by the equation LnT = -kt + LnC, where T is temperature, k is a constant, and C is a constant related to initial conditions. To solve for the constants k and LnC, one needs temperature data over time. Understanding the properties of natural logarithms is essential for manipulating the equation effectively. The discussion emphasizes the need for clarity on the formula's meaning and application in a lab report context. Familiarity with natural logarithm properties can aid in solving the problem.
xlgurulx
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Newtons cooling law?

Homework Statement


uh for my lab report the problem is i have to solve for the constnat and the lnC? look below


Homework Equations


teacher said something about LnT =Lne^-kt +LnC
transposes into ==> LnT = -kt +LnC
uh and i have the temperatures to do this.. but i don't know exactly what I am trying to do

The Attempt at a Solution


seen as i don't know how to do it and I am only in precalc i don't really get what I am trying to do... as well can someone explain what this formula means?
 
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xlgurulx said:

Homework Statement


uh for my lab report the problem is i have to solve for the constnat and the lnC? look below


Homework Equations


teacher said something about LnT =Lne^-kt +LnC
transposes into ==> LnT = -kt +LnC
uh and i have the temperatures to do this.. but i don't know exactly what I am trying to do

The Attempt at a Solution


seen as i don't know how to do it and I am only in precalc i don't really get what I am trying to do... as well can someone explain what this formula means?

Welcome to PF.

Here is a link that discusses the properties of natural logarithms:
http://en.wikipedia.org/wiki/Natural_logarithm

Perhaps that will help you understand the transform.
 

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