If you have the log of a modulus, (like after integration), how do the log laws work?
So if you have $a\ln\left|2x-3\right|$ does it become: $\ln\left|(2x-3)^a\right|$ or $\ln(\left|2x-3\right|)^a$, or does it not matter?
And what about $\ln\left|x+1|\right| - \ln(10)$? does it become $\ln\left|\frac{x+1}{10}\right|$ or $\ln\frac{\left|x+1\right|}{10}$?