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Mathematics 54 Online
OpenStudy (anonymous):

4e^(x-1)=64

OpenStudy (anonymous):

x=(ln16)+1

OpenStudy (anonymous):

How did you get that?

OpenStudy (anonymous):

e^(x-1)=16 then you ln both side -> x-1=ln16 x=(ln16) +1

OpenStudy (anonymous):

ummmmmmm yeah still not getting it.

OpenStudy (anonymous):

What you mean?

OpenStudy (anonymous):

like for instance where did the ln come from and why is it hooking up with the 16. Then why are you replacing x with ln16?

OpenStudy (anonymous):

e^(x-1) =64/4 Then you take the natural log(or ln) of both side, because ln(e^x)=x which is an identity, so you got x-1= ln 16 then you solve for x by adding 1 to both side

OpenStudy (anonymous):

http://en.wikipedia.org/wiki/Natural_logarithm you can check this out if you dont know the identity

OpenStudy (anonymous):

okay thank you for your help its highly appreciated!! :0]

OpenStudy (anonymous):

:)

OpenStudy (anonymous):

divide both sides by 4 you are left with....e^x-1=16......then introduce the natural log on both sides

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