# How do you simplify ln 1/2?

Mar 24, 2016

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:
$\ln \left(\frac{1}{2}\right) = \ln \left(1\right) - \ln \left(2\right) = 0 - \ln \left(2\right) = - \ln \left(2\right) = - 0.69315$

Mar 24, 2016

$0$
Assuming you meant $\ln \frac{1}{2}$ and not $\ln \left(\frac{1}{2}\right)$:
$\ln 1 = 0$, so
$\ln \frac{1}{2} = \frac{0}{2} = 0$