SOLUTION: ln((2x+3)/(x^2-3x+2))^2 Write expression as the difference of logarithms. Express powers as factors.

Question 549353: ln((2x+3)/(x^2-3x+2))^2
Write expression as the difference of logarithms. Express powers as factors.

Found 2 solutions by mathie123, Theo:
Answer by mathie123(224) (Show Source): You can put this solution on YOUR website!

Using the rule we can write our equation as

Now using the rule we can write our equation as

And finally using the rule we can write our equation as

We could also factor out our common factor of 2 if we would like and get:

Hopefully this helps!:)
Bre
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
your answer, to the best of my determination, is shown in the following document.

your solution is in step number 5.
steps a, b, and c show the concepts used based on the properties of logarithms.
step number 1 shows the original problem as i understood it.
step number 2 applies concept a.
step number 3 applies concept b.
step number 4 factors x^2 - 3x + 2
step number 5 applies concept c.
i checked the original expression and the final expression in my calculator.
since the answers i got using both the original expression and the final expression matched, i assumed that the problem was solved correctly.
let me know if this is not what you were looking for.

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