How to solve if I have ln on both sides of equation? I thought this would be a common problem but googling hasn't helped. If I have ln(ex)=ln(y) what the next step to solve for y?

iroroPagbublh

iroroPagbublh

Open question

2022-08-13

How to solve if I have ln on both sides of equation?
I thought this would be a common problem but googling hasn't helped.
If I have ln ( e x ) = ln ( y ) what the next step to solve for y?

Answer & Explanation

Dominic Paul

Dominic Paul

Beginner2022-08-14Added 17 answers

If you notice that y = e ln y , then you have y = e ln ( e x ) as well; but e ln ( e x ) = e x, so y = e x!
And if it is ln y = ln ( e x ), you can still say y = e ln y so y = e ln ( e x ) = e x !
Hope this helps!
Leia Hood

Leia Hood

Beginner2022-08-15Added 2 answers

ln a = ln b e ln a = e ln b a = b

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