Problem #$8$: Use the logarithmic rules to evaluate $($i$.$e$.,$ expand$)$ the following expression:

$ln(\frac{x^{\frac{1}{4}}}{x^6\sqrt[\phantom{2}]{1+x^4}})$

$($A$)\frac{-31}{4}lnx$

$($B$)\frac{17}{4}lnx$

$($C$)\frac{25}{4}lnx+\frac{1}{2}ln(1+x^4)$

$($D$)-\frac{23}{4}lnx-\frac{1}{2}ln(1+x^4)$

$($E$)\frac{33}{4}lnx$

$($F$)-\frac{23}{4}lnx+\frac{1}{2}ln(1+x^4)$

$($G$)\frac{25}{4}lnx-\frac{1}{2}ln(1+x^4)$

$($H$)\frac{-15}{4}lnx$