SOLUTION: Solve for x: e^x + e^-x = 2
Algebra
->
Logarithm Solvers, Trainers and Word Problems
-> SOLUTION: Solve for x: e^x + e^-x = 2
Log On
Algebra: Logarithm
Section
Solvers
Solvers
Lessons
Lessons
Answers archive
Answers
Click here to see ALL problems on logarithm
Question 971652
:
Solve for x: e^x + e^-x = 2
Answer by
Boreal(15235)
(
Show Source
):
You can
put this solution on YOUR website!
e^x + e^-x = 2
e^x + (1/e^x)=2
(e^2x + 1)/e^x =2
Multiply by e^x both sides
e^2x +1 =2 e^x
e^2x-2e^x+1=0
(e^x -1)^2 =0
e^x =1
x=0
check
1 +1 =2