SOLUTION: Write the expression logb(x-1)+3logb(x-2)-2logb(x+3) as a single logarithm. Assume that the variables represent positive numbers.

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Write the expression logb(x-1)+3logb(x-2)-2logb(x+3) as a single logarithm. Assume that the variables represent positive numbers.      Log On


   

Question 59600: Write the expression logb(x-1)+3logb(x-2)-2logb(x+3) as a single logarithm. Assume that the variables represent positive numbers.
Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
Write the expression logb(x-1)+3logb(x-2)-2logb(x+3) as a single logarithm. Assume that the variables represent positive numbers.
Rules we'll use:
1. highlight%28alogb%28x%29=logb%28x%5Ea%29%29
2. highlight%28logb%28a%2Ac%29=logb%28a%29%2Blogb%28c%29%29
3. highlight%28logb%28a%2Fc%29=logb%28a%29-logb%28c%29%29
:
logb%28x-1%29%2B3logb%28x-2%29-2logb%28x%2B3%29
logb%28x-1%29%2Blogb%28%28x-2%29%5E3%29-logb%28%28x%2B3%29%5E2%29 rule 1
logb%28%28x-1%29%28x-2%29%5E3%29-logb%28%28x%2B3%29%5E2%29 rule 2
logb%28%28x-1%29%28x-2%29%5E3%2F%28%28x%2B3%29%5E2%29%29
:
Happy Calculating!!!