Posted by Heather on Sunday, January 6, 2013 at 3:23pm.
solve the inequality
e^x+e^xx=6
can you show work

calculus  Reiny, Sunday, January 6, 2013 at 3:26pm
You don't have an inequality, you have an equation
Why do you have two terms the same?
Is there a typo ?

calculus  Heather, Sunday, January 6, 2013 at 5:22pm
I am sorry.
This is the equation.
Solve the follow exponential equation
e^x+e^x=6

calculus  Damon, Sunday, January 6, 2013 at 6:55pm
e^x = 1/e^x
so
e^x + 1/e^x = 6
e^2x/e^x + 1/e^x = 6
(e^2x + 1) = 6 e^x
let z = e^x
z^2 + 1 = 6 z
z^2  6 z + 1 = 0
z = [ 6 +/ sqrt(36 4) ] /2
z = 3 +/ .5 sqrt(32)
z = 3 +/ 2 sqrt 2
so
e^x = 5.828 or e^x = .1716
ln e^x = x = 1.76 or x = 1.76
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