SOLUTION: 4log x-2log(x^2+1)+3log(x-1) I need to write this as a single logaritm! HELP!

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Question 756076: 4log x-2log(x^2+1)+3log(x-1)
I need to write this as a single logaritm!
HELP!
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
You only need 3 rules:
(1) +log%28a%29+%2B+log%28b%29+=+log%28a%2Ab%29+
(2) +log%28a%29+-+log%28b%29+=+log%28a%2Fb%29+
(3) +b%2Alog%28a%29+=+log%28+a%5Eb%29+
--------------------------
+4%2Alog%28+x+%29+-+2%2Alog%28x%5E2%2B1%29+%2B+3%2Alog%28x-1%29+
Rewrite the order of the terms:
+4%2Alog%28+x+%29+%2B+3%2Alog%28x-1%29+-+2%2Alog%28x%5E2%2B1%29+
Apply rule 3
+log%28+x%5E4+%29+%2B+log%28+%28+x-1+%29%5E3+%29+-+log%28+%28+x%5E2+%2B+1+%29%5E2%29+
Apply rules 1 and 2
+log%28%28+x%5E4+%2A+%28+x-1%29%5E3+%29%29+-+log%28%28+%28+x%5E2+%2B+1+%29%5E2%29%29+
+log%28%28+x%5E4+%2A+%28+x-1%29%5E3+%29+%2F+%28+x%5E2+%2B+1+%29%5E2+%29%29+
+log%28%28+x%5E4+%2A+%28+x-1%29%5E3+%29+%2F+%28+x%5E2+%2B+1+%29%5E2+%29%29+
I could expand everything, but that's not needed.