$$\frac{1}{2}\log\ p-\frac{3}{2}\log\ q$$
$\frac{\log_{10}\left(e\right)\left(\ln(p)-3\ln(q)\right)}{2}$
$$\frac{\log_{10}\left(p\right)-3\log_{10}\left(q\right)}{2}$$
$$\frac{\ln(p)-3\ln(q)}{\ln(10)}$$
$$\frac{\ln(p)-3\ln(q)}{2\ln(10)}$$
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$\frac{\log(e)\left(\ln(p)-3\ln(q)\right)}{2}$