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.
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.
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}. $
Implement the formula: $a^{\log_a b}=b$, and $\ln x=\log_e x$ we have:
$\frac{1}{e^{\ln (x)}}=\frac{1}{e^{\log_e (x)}}=\frac{1}{x}$