SOLUTION: Use properties of logarithms to condense to a single logarithm: log(x+2)^2+ log(x+1)^3 - log(x^2+3x+2)

Algebra ->  Finance -> SOLUTION: Use properties of logarithms to condense to a single logarithm: log(x+2)^2+ log(x+1)^3 - log(x^2+3x+2)      Log On


   

Question 1188531: Use properties of logarithms to condense to a single logarithm: log(x+2)^2+ log(x+1)^3 - log(x^2+3x+2)
Answer by greenestamps(13203) About Me  (Show Source):
You can put this solution on YOUR website!


The required properties are only these:
(1) log%28%28xy%29%29=log%28%28x%29%29%2Blog%28%28y%29%29
(2) log%28%28x%2Fy%29%29=log%28%28x%29%29-log%28%28y%29%29

Applying those properties to the given expression....



Note the expression in the largest set of parentheses can be simplified; however, the instructions were only to write the expression as a single logarithm, so I leave my response there.

You can do the simplification if desired/required.