Take the 2-minute tour ×
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.

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.

share|improve this question
1  
$e^{\ln x}=x$ by definition –  user39572 Oct 2 '12 at 14:56

2 Answers 2

up vote 3 down vote accepted

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:

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

share|improve this answer

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

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

share|improve this answer

Your Answer

 
discard

By posting your answer, you agree to the privacy policy and terms of service.

Not the answer you're looking for? Browse other questions tagged or ask your own question.