# How do you prove that (1/2)(ln2 - ln4 + ln3) = (1/2)ln(3/2)?

Feb 2, 2015

In the bracket with $\left(\ln 2 - \ln 4 + \ln 3\right)$ you can apply the following general rules of the logarithms:

1) $\ln a + \ln b = \ln \left(a \cdot b\right)$

2) $\ln a - \ln b = \ln \left(\frac{a}{b}\right)$

and you should be able to get your result.