E^-ln(x) = 1/x?

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1s1
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Homework Statement



Is ##e^{-ln(x)}## equal to ##\frac{1}{x}## ?

Homework Equations





The Attempt at a Solution



##e^{-ln(x)} = e^{ln(x^{-1})} = e^{ln(\frac{1}{x})} = \frac{1}{x}## ?

Thanks!
 

Answers and Replies

  • #2
STEMucator
Homework Helper
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Homework Statement



Is ##e^{-ln(x)}## equal to ##\frac{1}{x}## ?

Homework Equations





The Attempt at a Solution



##e^{-ln(x)} = e^{ln(x^{-1})} = e^{ln(\frac{1}{x})} = \frac{1}{x}## ?

Thanks!

Yes that is correct. It's a very common mistake that I see to not apply the log rules before eliminating ##e## and ##ln##.
 

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