SOLUTION: Solve for x.
{{{ e^(2x) - 3e^x - 40 = 0 }}}
Algebra.Com
Question 476214: Solve for x.
Found 2 solutions by Tatiana_Stebko, lwsshak3:
Answer by Tatiana_Stebko(1539) (Show Source): You can put this solution on YOUR website!
Let
or
or exteraneous root
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Solve for x. e^(2x) - 3e^x - 40 = 0
**
e^(2x) - 3e^x - 40 = 0
let u=e^x
u^2=e^(2x)
..
u^2-3u-40=0
(u-8)(u+5)=0
u=8
or
u=-5
..
e^x=8
e^x=-5(reject,e^x>0)
xlne=ln(8)
x=2.0794
..
Check:
e^(2x) - 3e^x - 40
e^4.1588-3*e^2.0794-40=64-24-40=0
RELATED QUESTIONS
Solve for X:... (answered by venugopalramana)
e^(2x)-3e^x+2=0 (answered by Fombitz)
Solve for x:... (answered by josgarithmetic,MathTherapy)
3e^2x-9e^x =... (answered by lwsshak3)
Solve for x:... (answered by Fombitz)
solve equation for x. 3e^(x+1)... (answered by Tatiana_Stebko,solver91311)
Solve for x ,sin2x + cos 2x+ InX +... (answered by Alan3354)
Solve and check... (answered by jsmallt9)
f(x) =-3e^x+3 + e^1 find... (answered by MathLover1,ikleyn)