Question 1188531
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The required properties are only these:
(1) {{{log((xy))=log((x))+log((y))}}}
(2) {{{log((x/y))=log((x))-log((y))}}}<br>
Applying those properties to the given expression....<br>
{{{log((x+2)^2)+log((x+1)^3)-log((x^2+3x+2))=log((((x+2)^2)((x+1)^3)/(x^2+3x+2)))}}}<br>
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.<br>
You can do the simplification if desired/required.<br>