SOLUTION: e^x-5=(1/e^5)^x+6

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Question 949118: e^x-5=(1/e^5)^x+6
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
e%5Ex-5=%281%2Fe%5E5%29%5Ex%2B6-----The is exactly what was given, here rendered.

e%5Ex-5=%281%2Fe%5E%285x%29%29%2B6

%28e%5Ex-5%29%28e%5E%285x%29%29=%28%281%2Fe%5E%285x%29%29%2B6%29%28e%5E%285x%29%29

e%5Ex%2Ae%5E%285x%29-e%5E%285x%29%2A5=1%2B6e%5E%285x%29

e%5E%286x%29-5e%5E%285x%29=1%2B6e%5E%285x%29

e%5E%286x%29=1%2B11e%5E%285x%29

11e%5E%285x%29-e%5E%286x%29=1
A simplification only.

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

e^x-5=(1/e^5)^x+6
If e%5E%28x+-+5%29+=+%281%2Fe%5E5%29%5E%28x+%2B+6%29, then: highlight_green%28x+=+-+25%2F6%29     

You can do the check!! 

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