SOLUTION: Express as a single logarithm and, if possible simplify log(x^3-8)-log(x-2)

Question 33712: Express as a single logarithm and, if possible simplify
log(x^3-8)-log(x-2)
Answer by ntnk(54) (Show Source): You can put this solution on YOUR website!
First, note that when factoring a binomial in the form: , it is simplified as . You can use the distributive property to verify this.
Also, note that the quotient property of logarithms states: .
First, replace with .
Use the first property I explained. This will simplify to
.
Use the second property.
.
Simplify by canceling the and you are left with the answer:

NtNk
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