logarithmic expression: the IN to the square root of e

[MF524]

I am not sure how to correctly type the math problem I have but here goes.

IN sqrt of e

- the best I can describe it is that it is the natural logarithim (IN) to the square root of e. The IN is right next to the square root symbol with the e in it. My instructions are to find the exact value of the logarithmic expression without using a calculator. I have no idea how to work out this problem as my instructor never gave us anything like it before. Thanks for any help.

 

[mmm4444bot]

Re: logarithmic expression



Hello MF:

I'm not sure of "natural log to the square root of e", but I'll guess that it's "natural log of the square root of e".

\(\displaystyle ln(\sqrt{e})\)

Switching from radical notation to exponential notation gives us the following.

\(\displaystyle ln(e^\frac{1}{2})\)

Does that help you?

Cheers,

~ Mark

 

[MF524]

Re: logarithmic expression

Hello Mark,
Even after converting the problem to exponential form I still have no clue how to work it out. How do I solve this problem without a calculator? My instructor has never given us a problem like this before, and the exam is on saturday.

 

[Deleted member 4993]

Re: logarithmic expression

You should know - by definition -

\(\displaystyle ln (e) \, = \, ln_e(e) = 1\)