How do you evaluate $e^(lny)$ ?

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Answer 1 · 2016-12-16T09:18:28

This expression evaluates ro $y$ for every positive real number $y$ . See explanation.

$f(y)=e^y$ and $g(y)=lny$ are inverse functions, so both compositions: $e^lny$ and $lne^y$ evaluate to $y$ in all their domains.

Since $lny$ is only defined for $y>0$ the domain of the givenexpression is also $y>0$ .

So the expression $e^lny$ is equal to $y$ for all positive real numbers $y$

How do you evaluate e^(lny)e^(lny)?