SOLUTION: Hello, I was wondering if you were able to help me rearrange this equation to find r. N= C/(1+(C-No/No)*e^-rt) Many thanks

Algebra ->  Exponents -> SOLUTION: Hello, I was wondering if you were able to help me rearrange this equation to find r. N= C/(1+(C-No/No)*e^-rt) Many thanks      Log On


   

Question 869368: Hello,
I was wondering if you were able to help me rearrange this equation to find r.
N= C/(1+(C-No/No)*e^-rt)
Many thanks
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
N=+C%2F%281%2B%28%28C-N%5Bo%5D%29%2FN%5Bo%5D%29%2Ae%5E%28-rt%29%29
Let's make a substitution first for better readability.
A=%28%28C-N%5Bo%5D%29%2FN%5Bo%5D%29
N=+C%2F%281%2BA%2Ae%5E%28-rt%29%29
N%281%2BA%2Ae%5E%28-rt%29%29=C
N%2BAN%2Ae%5E%28-rt%29=C
AN%2Ae%5E%28-rt%29=C-N
e%5E%28-rt%29=%28C-N%29%2FAN
-rt=ln%28%28C-N%29%2FAN%29
r=-%281%2Ft%29ln%28%28C-N%29%2FAN%29
r=-%281%2Ft%29ln%28%28%28C-N%29%2F%28C-N%5Bo%5D%29%29%28N%5Bo%5D%2FN%29%29