SOLUTION: Write the expression as the logarithm of a single quantity. 3/2[ln(x^2+1)-ln(x+1)-ln(x-1) Here's the answer I came up with: (not sure about it though) ln square root of (x

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Write the expression as the logarithm of a single quantity. 3/2[ln(x^2+1)-ln(x+1)-ln(x-1) Here's the answer I came up with: (not sure about it though) ln square root of (x      Log On


   

Question 177321: Write the expression as the logarithm of a single quantity.
3/2[ln(x^2+1)-ln(x+1)-ln(x-1)
Here's the answer I came up with: (not sure about it though)
ln square root of (x^2+1/x^2-1)^3
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Yes, you're correct.
Remember if you're not sure, you can always check the answer using some trial values.
I used x=2 and x=5 and got the same answer for both expressions.
%283%2F2%29%2A%28ln%28x%5E2%2B1%29-ln%28x%2B1%29-ln%28x-1%29%29
%283%2F2%29%2A%28ln%28%28x%5E2%2B1%29%2F%28x%2B1%29%29-ln%28x-1%29%29
%283%2F2%29%2A%28ln%28%28x%5E2%2B1%29%2F%28%28x%2B1%29%28x-1%29%29%29%29
%283%2F2%29%2A%28ln%28%28x%5E2%2B1%29%2F%28x%5E2-1%29%29%29
ln%28%28%28x%5E2%2B1%29%2F%28x%5E2-1%29%29%5E%283%2F2%29%29
ln%28sqrt%28%28%28x%5E2%2B1%29%2F%28x%5E2-1%29%29%29%5E%283%29%29%29