Thursday, April 30, 2015

What is x in equation 2/e^x = 5/(1+e^x)?

We have to solve for x using the equation 2/e^x =
5/(1+e^x)


2/e^x =
5/(1+e^x)


=> 2* ( 1 + e^x) = 5*
e^x


=> 2 + 2*e^x =
5*e^x


=> 2 =
3*e^x


=> (2/3) =
e^x


take the natural logarithm of both the
sides


=> x = ln
(2/3)


=> x =
-0.4054


Therefore x = ln (2/3) or
-0.4054

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