SOLUTION: e^x-10e^-x=3

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: e^x-10e^-x=3      Log On


   

Question 256889: e^x-10e^-x=3
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
e^x-10e^-x=3
-------------
e%5E2x+-+10+=+3e%5Ex
e%5E2x+-+3e%5Ex+-+10+=+0
Not it's a quadratic in e^x
(e^x - 5)*(e^x + 2) = 0
e^x = 5
x = ln(5)
----------
e^x = -2 Ignore this one.