use properties of logarithms to expand in the expression In(x^6sqrt y/z^3) as a sum, difference, and or constant multiple of logarithms.
In(x^6sqrt y/z^3) =
ln [x^6 * y^(1/2)] - ln z^3 =
lnx^6 + ln y^(1/2) - ln z^3 =
6 ln x + (1/2) ln y - 3ln z
