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April 24, 2014

April 24, 2014

Posted by **ladybug** on Tuesday, October 9, 2012 at 10:02pm.

7e^x=11-e^-x

- pre-cal -
**Reiny**, Tuesday, October 9, 2012 at 10:48pm7 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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