SOLUTION: solve the equation 5/1+2e^-x = 4 please help me solve the equation

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Question 197296: solve the equation
5/1+2e^-x = 4
please help me solve the equation

Found 2 solutions by jim_thompson5910, stanbon:
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Start with the given equation


Multiply both sides by


Distribute


Subtract 4 from both sides


Combine like terms.


Divide both sides by 8


Rewrite as


Cross multiply


Take the natural log of both sides (to eliminate the base "e" and isolate "x")



So the solution is which approximates to

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
solve the equation
5/1+2e^-x = 4
------------------
5/[1+2e^(-x)] = 4
[1+2e^(-x)] = 5/4
2e^(-x) = 1/4
e^(-x) = 1/8
-x = ln[1/8]
-x = -2.0794
x = 2.0794
===================
Cheers,
Stan H.

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