SOLUTION: how do i solve this e^x + e^x+1 =250

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Question 152229: how do i solve this
e^x + e^x+1 =250
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
It's not clear how this problem is to be read!
1) e%5Ex%2Be%5Ex+%2B+1+=+250 or
2) e%5Ex%2Be%28x%2B1%29+=+250 I suspect that this is what you wanted, so let's go with it.
e%5Ex%2Be%5E%28x%2B1%29+=+250 Substitute e%5E%28x%2B1%29+=+e%5Ex+%2A+e%5E1
e%5Ex%2Be%5Ex%2Ae+=+250 Factor out e%5Ex.
e%5E%28x%29%281%2Be%29+=+250 Divide both sides by %281%2Be%29
e%5Ex+=+250%2F%281%2Be%29 Take the natural log of both sides.
ln%28e%5Ex%29+=+ln%28250%2F%281%2Be%29%29 Substitute: ln%28e%5Ex%29+=+x
x+=+ln%28250%2F%281%2Be%29%29
x+=+ln%28250%2F3.72%29
x+=+ln%2867.235355%29
x+=+4.21 Approximately.