5. use the properties of logarithms to condense: 3 in x – 2 in (x + 1)

Step-by-step explanation:

The given expression is

3In x – 2In (x + 1)

We would apply the rule of logarithm which is expressed as

ylog x = logx^y

Therefore,

3In x – 2In (x + 1) = lnx^3 - ln(x + 1)^2

We would apply another rule of logarithm which is expressed as

loga - logb = loga/b

Therefore

lnx^3 - ln(x + 1)^2 = ln x^3 /(x + 1)^2

answer4 to the second power is 16

and 4 to the third power is 64,