Question

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

Answer 1

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

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`