Question

How do you simplify `Ln e^(2y)`?

Answer 1

`ln e^(2y)=color(green)(2y)`

Explanation:

`ln` is equivalent to `log_e`

`log_b a =c hArr b^c=a`

Therefore if `ln e^(2y) = x`
then
`color(white)("XXX")log_e e^(2y)=x`
and
`color(white)("XXX")e^x = e^(2y)`

`rarr x=2y`