Making an exponential function linear

In summary: Logarithm of both sides.Expand out the right side.Is the exponent supposed to mean ##\frac{D}{RT}## or ##\frac{D}{R} T##?
  • #1
Mathijsgri
40
2

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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  • #2
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 ",".
 
  • #3
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.
 
  • #4
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##?
 

Related to Making an exponential function linear

1. What is an exponential function?

An exponential function is a mathematical function in which the independent variable appears in the exponent. It is expressed in the form of y = abx, where a is the initial value, b is the base, and x is the independent variable.

2. Why would we want to make an exponential function linear?

Making an exponential function linear can make it easier to analyze and understand the relationship between the variables. It can also make it easier to perform calculations and make predictions.

3. How can we make an exponential function linear?

To make an exponential function linear, we can take the natural logarithm of both sides of the function. This will result in a new equation in which the dependent variable is now the natural logarithm of the original dependent variable. This new equation will be linear and can be graphed and analyzed more easily.

4. What are the benefits of using a linearized exponential function?

Using a linearized exponential function allows us to easily calculate important values such as the initial value, growth rate, and doubling time of the original exponential function. It also allows for easier comparison and interpretation of data.

5. Are there any limitations to making an exponential function linear?

One limitation is that linearizing an exponential function may not accurately represent the true relationship between the variables. It also requires the use of the natural logarithm, which may be more difficult for some individuals to understand and work with.

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