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Mathematics 57 Online
OpenStudy (anonymous):

3=5/(1+2e^(-x))

OpenStudy (anonymous):

do we need to simplify?

OpenStudy (anonymous):

need to solve it for x

OpenStudy (anonymous):

K

OpenStudy (anonymous):

where would I begin?

OpenStudy (anonymous):

3=5/(1+2e^(-x)) =>3(1+2e^(-x))=5 =>3+6e^(-x) =5 =>6e^(-x)=2 =>e^(-x)=1/3 take log on both sides -x =log (1/3) -x=-log 3 =>x=log 3

OpenStudy (anonymous):

why do you switch the 3 and the 5?

OpenStudy (anonymous):

in order to simplify

OpenStudy (anonymous):

but then how does the 5 become the 2? how did you get to that step?

OpenStudy (anonymous):

ohhh I see now

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