Answered

Explore Westonci.ca, the leading Q&A site where experts provide accurate and helpful answers to all your questions. Discover detailed solutions to your questions from a wide network of experts on our comprehensive Q&A platform. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

ln(1/e^2) without calculator

Sagot :

Everest2017
Ln 1/e²
             =  Ln 1 -  Ln e²       as  Ln X/Y = Ln X  -  Ln Y
             =  0  -  2 Ln e         as Ln 1 = 0    and  Ln X²  = 2 Ln X
                = - 2  * 1          as Ln e  = 1

        = -2


AL2006
Once you remember the definition of a log, the answer to this question will literally fall out of your pencil.

First, ' Ln ' means 'natural log' ... logs to the base of ' e '.

Definition of the natural log of a number:
In order to get the number, what power do I have to raise ' e ' to ?

OK.  What power do you have to raise ' e ' to in order to get  1/e²  ?

Isn't  1/e²  the same thing as  e⁻²  ?

So, in order to get  1/e² , you have to raise ' e ' to the  -2  power .

In math-speak:    Ln(1/e²) = -2 .
Thanks for stopping by. We are committed to providing the best answers for all your questions. See you again soon. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Westonci.ca is your go-to source for reliable answers. Return soon for more expert insights.