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How can I evaluate $1/e^{\ln(x)}$? I really don't have experience on this and appreciate if you can explain it to me.

Thanks.

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    $e^{\ln x}=x$ by definition2012-10-02

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By definition you have that $\ln(x) = y$ if and ony if $e^y = x$. Hence you would have that $ e^{\ln(x)} = x. $ So in your example:

$ \frac{1}{e^{\ln(x)}} = \frac{1}{x}. $

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Implement the formula: $a^{\log_a b}=b$, and $\ln x=\log_e x$ we have:

$\frac{1}{e^{\ln (x)}}=\frac{1}{e^{\log_e (x)}}=\frac{1}{x}$