Simplifying trivial expression How to simplify an expression: e^((- ln^2 y)/(2))? I mean because as if e^(ln y)=y then my guess is that this could be simplified in a similar manner thus how to do that?

ritualizi6zk

ritualizi6zk

Answered question

2022-11-13

Simplifying trivial expression
How to simplify an expression: e ln 2 y 2 ? I mean because as if e ln y = y then my guess is that this could be simplified in a similar manner thus how to do that?

Answer & Explanation

merlatas497

merlatas497

Beginner2022-11-14Added 14 answers

Note that we can write e 1 2 log 2 ( y ) a number of different ways. One way, we have
e 1 2 log 2 ( y ) = e log ( y ) log ( y 1 / 2 ) = e log ( y 1 / 2 log ( y ) ) = 1 y log ( y )
A second way is to write
e 1 2 log 2 ( y ) = e log ( y ) log ( y 1 / 2 ) = e log ( y log ( y 1 / 2 ) ) = y log ( 1 / y )

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