Answer:
ln[xy/sqrt(z+4)]
Step-by-step explanation:
lnx+ln(y^4)-ln((z+4)^1/2)
The logarithms property states that logxy can be written as log(x)+log(y)
ln(xy)-ln(z+4)^1/2
The logarithms property also states that logx/y can be written as log(x)-log(y)
ln(xy)/ln(z+4)^1/2
ln(xy/(z+4))^1/2
ln[xy/sqrt(z+4)]
Hence by using the logarithms properties In x + 4 In y - 1/2 In (z + 4) can be written as ln[xy/sqrt(z+4)]
