How do you simplify ln 1/2?

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20
Mar 12, 2017

I found: $- \ln \left(2\right) = - 0.69315$ when the original question stated $\ln \left(\frac{1}{2}\right)$...!

Explanation:

I would use a property of the logs where you have:
$\log x - \log y = \log \left(\frac{x}{y}\right)$
To write:
$\ln \left(\frac{1}{2}\right) = \ln \left(1\right) - \ln \left(2\right) = 0 - \ln \left(2\right) = - \ln \left(2\right) = - 0.69315$

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4
mason m Share
Mar 24, 2016

$0$

Explanation:

Assuming you meant $\ln \frac{1}{2}$ and not $\ln \left(\frac{1}{2}\right)$:

$\ln 1 = 0$, so

$\ln \frac{1}{2} = \frac{0}{2} = 0$

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Explanation

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Explanation:

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1
Farrukh Share
Mar 23, 2017

$\ln \left(\frac{1}{2}\right) = - 0.69$
$\ln \frac{1}{2} = 0$

Explanation:

$\ln \left(\frac{1}{2}\right) = \ln 1 - \ln 2 = 0 - 0.69 = 0.69$
$\ln \frac{1}{2} = \frac{0}{2} = 0$

note; the question is not written clearly hence two answers are possible as per respective question.

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