Making an exponential function linear

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To linearize the equation a = e^(D/(R*T))*G, the discussion emphasizes the need to clarify the relationship between the variables and constants involved. The user is encouraged to take the logarithm of both sides to facilitate the linearization process, leading to log(a) = log(G) + (D/R)*T. The importance of correctly interpreting the exponent as either D/(R*T) or D/R*T is highlighted, as it affects the linearization. Additionally, it is noted that more information is needed to solve for constants D and G, as the current data is insufficient. The conversation underscores the necessity of understanding the connections between the variables to proceed effectively.
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##?
 
Question: A clock's minute hand has length 4 and its hour hand has length 3. What is the distance between the tips at the moment when it is increasing most rapidly?(Putnam Exam Question) Answer: Making assumption that both the hands moves at constant angular velocities, the answer is ## \sqrt{7} .## But don't you think this assumption is somewhat doubtful and wrong?

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