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by **santaclaus** on Fri Apr 10, 2009 9:54 pm

I need to evaluate the following without a calculator:

ln sq.rt.e (sorry I can't find notation for square root). Does this mean the natural log of e to the 1/2 power? :confused:

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by **Martingale** on Fri Apr 10, 2009 11:10 pm

santaclaus wrote:I need to evaluate the following without a calculator:

ln sq.rt.e (sorry I can't find notation for square root). Does this mean the natural log of e to the 1/2 power?

if the question is evaluate ...

$\ln\left(\sqrt{e}\right)$

then

$\ln\left(\sqrt{e}\right)=\ln\left((e)^{1/2}\right)=\frac{1}{2}\ln(e)=\frac{1}{2}\cdot 1=\frac{1}{2}$

by **stapel_eliz** on Sat Apr 11, 2009 12:47 am

santaclaus wrote:ln sq.rt.e

Does this mean the natural log of e to the 1/2 power?

Yes, a square root is the same as a one-half power. For clarification, try here. :wink:

by **santaclaus** on Sat Apr 11, 2009 2:00 pm

ok, so how about ln (1/sq.rt.e)?

would it be -1/2?

by **stapel_eliz** on Sat Apr 11, 2009 2:27 pm

Yup!

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evaluating natural log expressions: ln sq rt e w/o calc

evaluating natural log expressions: ln sq rt e w/o calc

Re: evaluating natural logs

Re: evaluating natural log expressions: ln sq rt e w/o calc