SOLUTION: how do i solve? In x-In(x+7)=-1

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Question 141631: how do i solve? In x-In(x+7)=-1
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
Remember: log%28b%2C%28x%29%29-log%28b%2C%28y%29%29=log%28b%2C%28x%2Fy%29%29, so:

log%28e%2C%28x%29%29-log%28e%2C%28x%2B7%29%29=log%28e%2C%28x%2F%28x%2B7%29%29%29=-1, but also:

If y=log%28b%2C%28x%29%29 then b%5Ey=x, so:

If log%28e%2C%28x%2F%28x%2B7%29%29%29=-1 then e%5E%28-1%29=x%2F%28x%2B7%29

1%2Fe=x%2F%28x%2B7%29

%28x%2B7%29%2Fx=e

x%2B7=ex

x-ex=-7

%281-e%29x=-7

x=7%2F%28e-1%29