Solving e^(0.001a) - (R^2)*(e^(-0.001a)): Help Needed!

  • Thread starter osqen
  • Start date
In summary, the conversation is about a mathematical equation involving the variables R and a, and the question of whether it can be simplified further. The person offering help suggests using the properties of exponents and logarithms to rewrite the equation, but the person asking the question is unsure of how to proceed. Ultimately, it is determined that the equation cannot be simplified any further.
  • #1
osqen
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Homework Statement



e^(0,001*a)-((R^2)*(e^(-0,001*a)))

R and a is constant

i can't take ln of this function, pls help
 
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  • #2
you can write R^2e^(-0.001a) as e^(ln(R^2)*-0.001a)
can you take it from there?
 
  • #3
osqen said:

Homework Statement



e^(0,001*a)-((R^2)*(e^(-0,001*a)))

R and a is constant

i can't take ln of this function, pls help


What exactly is your question? I don't see anythig being asked here.
 
  • #4
my question is x = e^(0,001*a)-((R^2)*(e^(-0,001*a)))

and lnx = ?
 
  • #5
I still don't understand what the problem here is. If [itex]x=\exp(0.001a)-R^2\exp(-0.001a)[/itex], then obviously:

[itex]\ln(x)=\ln(\exp(0.001a)-R^2\exp(-0.001a))[/itex].

Am I missing something? :confused:
 
  • #6
i lost my ability :( thank you:)
 
  • #7
If you were wondering if it could be simplified at all, the answer is "no".
 
  • #8
is it the eqn. as simple as it can be
 

1. What is the purpose of solving e^(0.001a) - (R^2)*(e^(-0.001a))?

The purpose of solving this equation is to find the value of the variable "a" that would make the equation equal to zero. This is also known as finding the root or solution of the equation.

2. What is the significance of the constants e and R in the equation?

The constant "e" represents the base of the natural logarithm and is approximately equal to 2.718. The constant "R" represents the radius of a circle or the correlation coefficient in statistics.

3. How do you solve this equation?

To solve this equation, you can use algebraic techniques such as factoring, substitution, or the quadratic formula. You can also use numerical methods such as graphing or using a calculator or computer program to find the root of the equation.

4. What are the possible solutions to this equation?

The equation may have one, two, or no solutions depending on the values of the constants "e" and "R". The solutions can be real or complex numbers. If the solutions are complex, they will be in the form of a+bi where "a" and "b" are real numbers and "i" is the imaginary unit.

5. How can solving this equation be applied in real life?

Solving this equation can be useful in various scientific and mathematical fields such as physics, chemistry, economics, and engineering. It can be used to find the optimal value of a variable in a given situation or to analyze data and make predictions based on the correlation between two variables represented by "e" and "R".

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