(a) Using laws of logarithms, write the expression below using sums and/or differences of logarithmic expressions which do not contain the logarithms of products, quotients, or powers.

$\displaystyle \displaystyle \ln \left| \frac{3}{ x^{31} } \right| =$ help (logarithms)

$\displaystyle \frac{d}{dx} \left( \displaystyle \ln \left| \frac{3}{ x^{31} } \right| \right) =$ help (formulas)