Making an exponential function linear

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Homework Help Overview

The discussion revolves around transforming an exponential function into a linear form for the equation a = e^(D/(R*T))*G, with R as a constant and T as a variable. Participants are tasked with calculating the values of D and G.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants explore the transformation of the given exponential equation into a linear format, questioning the derivation of certain expressions and their relevance. There is a focus on identifying the correct variables for linearization and the need for additional information to solve for D and G.

Discussion Status

The discussion is ongoing, with participants providing insights and raising questions about the approach to linearization. Some guidance has been offered regarding taking logarithms to facilitate the transformation, while others seek clarification on the relationships between the variables involved.

Contextual Notes

There are indications that the problem may lack sufficient information for a complete solution, and participants are questioning the assumptions made regarding the equation's structure and variable relationships.

Mathijsgri
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Homework Statement


a= eD/R*T*G make a linear equations
and calculate the value for D and G
R=8,3 and constant
D,G=constant
T= variable

Homework Equations


y=ax+b
y=numberax*b

The Attempt at a Solution



ax= E/(R*T)
x= 1/T

a= E/R

y= (E/R)*x+G

I don't know how to move on and if this is even correct/
 
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Mathijsgri said:
ax= E/(R*T)
Where does that come from, and how is it supposed to help?
Mathijsgri said:
y= (E/R)*x+G
Where does that come from?

Start a step earlier. You want to make a linear equation. Linear in which variable?

If you are asked to calculate D and G, you'll need more than just the value of R.

R=8.3? In English the decimal separator is ".", not ",".
 
Mathijsgri said:

Homework Statement


a= eD/R*T*G make a linear equations
and calculate the value for D and G
R=8,3 and constant
D,G=constant
T= variable
Is there more to this problem than you have here?
Is the idea to find the linearization of your equation?
Mathijsgri said:

Homework Equations


y=ax+b
y=numberax*b
How are these equations relevant? The first is, obviously, the equation of a line, but how do x and y relate to the variables in your given equation?
Mathijsgri said:

The Attempt at a Solution



ax= E/(R*T)
x= 1/T

a= E/R

y= (E/R)*x+G

I don't know how to move on and if this is even correct/
As already noted by @mfb, your work raises more questions than it answers.
 
Try taking the logarithm of both sides, i.e., ##\log a = \log [Ge^{(D/R)T}]##, and expand out the right side using the properties of logarithms.

On a related note, is the exponent supposed to mean ##\frac{D}{RT}## or ##\frac{D}{R} T##?
 

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