Posted by ladybug on Tuesday, October 9, 2012 at 10:02pm.
7 e^x = 11 - 1/e^x
let e^x = t
7t = 11 - 1/t
times t
7t^2 = 11t - 1
7t^2 - 11t + 1 = 0
t = (11 ± √93)/14
then e^x = (11 + √93)/14 = 1.474546...
x = ln 1.4745.. = .38835..
or
e^x = (11 - √93)/14 = .096882..
x = ln .096882.. = -2.33426...
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