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

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