ln(9) + 4*ln(x) + 6*ln(x^2 + 6)
= ln(9x^4) + ln(x^2 + 6)^6
= ln(9*(x^3 + 6x)^4* (x^2 + 6)^2)
= ln(9x^4) + ln(x^2 + 6)^6
= ln(9*(x^3 + 6x)^4* (x^2 + 6)^2)
-
ln9 + 4lnx + 6ln(x^2+6)
ln9 + ln(x^4) + ln((x^2+6)^6) [carry out all power properties]
ln((9)(x^4)(x^2+6)^6) [carry out all sum/product properties - final answer]
ln9 + ln(x^4) + ln((x^2+6)^6) [carry out all power properties]
ln((9)(x^4)(x^2+6)^6) [carry out all sum/product properties - final answer]