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

[jpd5184]

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)

 

[Outlined]

why do you want to get rid of it ?

 

[jpd5184]

i don't know just making a suggestion. why wouldn't you get rid of the natural log?

 

[Mark44]

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.

 

[Mentallic]

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).

 

[HallsofIvy]

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.