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Mathematics 25 Online
OpenStudy (mathlegend):

Natural Logging...

OpenStudy (mathlegend):

\[e ^{\ln x}\]

OpenStudy (mathlegend):

If I natural log that... the x would come down right?

OpenStudy (sidsiddhartha):

yes

OpenStudy (mathlegend):

Or would lnx all come down?

OpenStudy (mathlegend):

I'm thinking lnx...

OpenStudy (amistre64):

y = e^(lnx) lny = ln(e^(lnx)) lny = lnx ln(e) lny = lnx * 1 lny = lnx

OpenStudy (mathstudent55):

\(e^x\) and \(\ln x\) are inverse functions, so \(e^{\ln x} = x\)

OpenStudy (anonymous):

\[\large f(f^{-1}(x))=f^{-1}(f(x))=x\]

OpenStudy (mathlegend):

ok

OpenStudy (mathlegend):

Thanks everyone

OpenStudy (mathstudent55):

You're welcome.

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