SOLUTION: Will someone please help me write this as a single logarithm! 1/2 ln (x^2 +1) -4 ln (1/2) -1/2[ln(x-4)+ln x] Thank you so much, Natalie

Algebra ->  Algebra  -> Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Will someone please help me write this as a single logarithm! 1/2 ln (x^2 +1) -4 ln (1/2) -1/2[ln(x-4)+ln x] Thank you so much, Natalie      Log On

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Question 149971: Will someone please help me write this as a single logarithm!
1/2 ln (x^2 +1) -4 ln (1/2) -1/2[ln(x-4)+ln x]
Thank you so much, Natalie
Answer by oscargut(686) About Me  (Show Source):
You can put this solution on YOUR website!
1/2 ln (x^2 +1) -4 ln (1/2) -1/2[ln(x-4)+ln x]=
ln%28%28x%5E2+%2B1%29%5E%281%2F2%29%29-ln%28%281%2F2%29%5E4%29-%281%2F2%29%28ln%28%28x-4%29x%29%29=
ln%28%28x%5E2+%2B1%29%5E%281%2F2%29%29-ln%28%281%2F2%29%5E4%29-%28ln%28%28x-4%29x%29%5E%281%2F2%29%29=
ln%28%28x%5E2+%2B1%29%5E%281%2F2%29%2F%28%281%2F2%29%5E4%2A%28%28x-4%29x%29%5E%281%2F2%29%29%29=
+++++++ln%28++++++%28x%5E2+%2B1%29%5E%281%2F2%29%2F%28%281%2F16%29%2A%28%28x-4%29x%29%5E%281%2F2%29%29++++++%29++++++=
ln%28%2816%28x%5E2+%2B1%29%5E%281%2F2%29%29%2F%28%28%28x-4%29x%29%5E%281%2F2%29%29%29+