SOLUTION: Please help to isolate "x" in the following equation: {{{y=a/(1+x)^n}}} If it makes it any easier, the problem with the plugged in variables, solving for x (in this particular

Algebra ->  Expressions -> SOLUTION: Please help to isolate "x" in the following equation: {{{y=a/(1+x)^n}}} If it makes it any easier, the problem with the plugged in variables, solving for x (in this particular       Log On


   

Question 302013: Please help to isolate "x" in the following equation:
y=a%2F%281%2Bx%29%5En
If it makes it any easier, the problem with the plugged in variables, solving for x (in this particular problem) is 6000=9720%2F%281%2Bx%29%5E3.
HINT (if needed): The correct solution for "x"= 17.446%
Yes, I have made several attempts on my own, but the work is too plenty and too confusing for me to try and input through the computer.
Thank you
- Rose
pazion1@yahoo.com
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Please help to isolate "x" in the following equation:
y=a%2F%281%2Bx%29%5En
-------------------
%281%2Bx%29%5En+=+a%2Fy
Multiply by y
y%281%2Bx%29%5En+=+a
Divide by 1+x
(1+x)^n = a/y
Take the nth root
1%2Bx+=+%28a%2Fy%29%5E%281%2Fn%29
x+=+%28a%2Fy%29%5E%281%2Fn%29%29+-+1
---------------------------
6000=9720%2F%281%2Bx%29%5E3
x = (9720/6000)^(1/3) - 1
x = 0.17446