Solving Newtons Cooling Law: LnT = -kt +LnC

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SUMMARY

The discussion centers on solving Newton's Cooling Law, specifically the equation LnT = -kt + LnC. Participants express confusion regarding the constants and the interpretation of the formula. The equation is derived from the teacher's explanation of natural logarithms and their properties. A link to a Wikipedia article on natural logarithms is provided to aid understanding.

PREREQUISITES
  • Understanding of natural logarithms and their properties
  • Familiarity with algebraic manipulation of equations
  • Basic knowledge of Newton's Cooling Law
  • Concept of constants in mathematical equations
NEXT STEPS
  • Study the properties of natural logarithms in detail
  • Learn how to manipulate exponential equations
  • Explore applications of Newton's Cooling Law in real-world scenarios
  • Review introductory precalculus concepts related to logarithmic functions
USEFUL FOR

Students studying precalculus, particularly those working on lab reports involving Newton's Cooling Law, and anyone seeking to understand the application of natural logarithms in scientific contexts.

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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