SOLUTION: Ok, i'm trying to do this problem but i'm having trouble figuring out how it works. I have the answer sheet but i can't figure out how they came up with this. 500/(1+2e^(-0.4x))

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Ok, i'm trying to do this problem but i'm having trouble figuring out how it works. I have the answer sheet but i can't figure out how they came up with this. 500/(1+2e^(-0.4x))      Log On


   

Question 242212: Ok, i'm trying to do this problem but i'm having trouble figuring out how it works. I have the answer sheet but i can't figure out how they came up with this.
500/(1+2e^(-0.4x))=250
The next step is supposed to be 500=250+500e^(-0.4x)
But how do you get that second 500?
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!





Multiply both sides by



Now apply the distributive property to eliminate the parentheses. 250 times 1 is 250 and 250 times is .

However, I wouldn't do the problem that way. I would divide both sides by 250 first. THEN I would apply the distributive property, leaving me with:



Much neater.

John