SOLUTION: Thank you for helping me with the solution to the following problem. Our solutions do not seem to be going in the same direction would you please assist as to what I am doing wron

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Question 63947: Thank you for helping me with the solution to the following problem. Our solutions do not seem to be going in the same direction would you please assist as to what I am doing wrong. This is as far as I could get with the problem.
Problem: 3log(X^2)-4log(X^2)+log(2X^3):
3log(X^2)-4log(X^2)+log(2X^3):
log((X^2)^3)-log((X^2)4)+log(2X^3)
log(X^6)-log(X^8)+log(2X^3)
log(X^-8/X^6,2X^3)log(X^-8 I am stuck here with my completion.
Found 2 solutions by funmath, josmiceli:
Answer by funmath(2933) (Show Source):
You can put this solution on YOUR website!
Problem: 3log(X^2)-4log(X^2)+log(2X^3):
If you're the same person I just answered this for, there is more than one way to skin this cat, however you should still come up with the same conclusion. Doing it your way:
3log(X^2)-4log(X^2)+log(2X^3):
log((X^2)^3)-log((X^2)4)+log(2X^3)
log(X^6)-log(X^8)+log(2X^3)
log(x^6/x^8)+log(2x^3) because loga-logb=log(a/b)
log(1/x^2)+log(2x^3) reduce
log((1/x^2)(2x^3)) because loga+logb=log(ab)
log(2x^3/x^2)
log(2x) reduce
Happy Calculating!!!

Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website!
You can make it very simple by starting differently

You get the same answer with the other approach, too