Solve for R: e^[(u/e-k)ln s] + v

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The discussion revolves around solving the equation (R-V)/ln S = U/e-k for R. The initial steps involve rearranging the equation to R = [(u/e-k)ln s] + v. Participants suggest removing the natural logarithm by exponentiating both sides, leading to e^R = s^(u/e-k)e^v. However, it is clarified that removing the logarithm does not fulfill the original requirement to solve for R. Ultimately, the consensus is that R is already expressed in terms of ln(s) and cannot be simplified further without losing the solution's integrity.
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Homework Statement



(R-V)/ln S = U/ e-k

solve for R

these are just rudimentary letters, they don't mean anything

The Attempt at a Solution



i get R-V= (u / e-k)ln s
then add V to both sides and get:

R= [(u/e-k)ln s] + v

i then have to get rid of the natural log so do e^(something)
 
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why do you want to get rid of it ?
 
i don't know just making a suggestion. why wouldn't you get rid of the natural log?
 
You want to solve for R. Step 1 is to multiply by sides by ln(S).

The answer will still have the ln term in it.
 
If you wanted to remove that log, then you would take the exponential of both sides to get

e^R=e^{\frac{u}{e-k}ln(s)+v}

e^R=\left(e^{ln(s)}\right)^{\frac{u}{e-k}}e^v

e^R=s^{\frac{u}{e-k}}e^v


Ok so we got rid of the log, but we haven't done what the original question asked of us, to solve for R. So as others have said, R will be in terms of log(s).
 
jpd5184 said:

Homework Statement



(R-V)/ln S = U/ e-k

solve for R

these are just rudimentary letters, they don't mean anything

The Attempt at a Solution



i get R-V= (u / e-k)ln s
then add V to both sides and get:

R= [(u/e-k)ln s] + v
You said you wanted to solve for R. This is solved for R.

i then have to get rid of the natural log so do e^(something)
But then it would not be solved for R.
 
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