In exercise, use the properties of logarithms to rewrite the expression as the logarithm of a single quantity.
in x + 4 in y - 1/2 in (z + 4)

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)]

ruth is 6 years old

step-by-step explanation:

6 + 24 = 30,   so 6/30 = .2  

if you do 1/5 it also equals .2, so that is the answer.

the answer is 150.6

step-by-step explanation:

you multiply .02 by 30 and get .6.

and then you multiply 5.00 by 30 and get 150.

hope this !