SOLUTION: I am trying to simplify ln(1/x + x). or ln {(1+x^2)/x} or ln(1+x^2)-ln(x). Standard formulas are available for ln(1+x) and ln x. How do i expand or simplify ln (1+x^2). Tha

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: I am trying to simplify ln(1/x + x). or ln {(1+x^2)/x} or ln(1+x^2)-ln(x). Standard formulas are available for ln(1+x) and ln x. How do i expand or simplify ln (1+x^2). Tha      Log On


   

Question 23942: I am trying to simplify ln(1/x + x).
or ln {(1+x^2)/x}
or ln(1+x^2)-ln(x).
Standard formulas are available for ln(1+x) and ln x. How do i expand or simplify ln (1+x^2).
Thanks.
Answer by AnlytcPhil(1807) About Me  (Show Source):
You can put this solution on YOUR website!
I am trying to simplify ln(1/x + x).
or ln {(1+x^2)/x}
or ln(1+x^2)-ln(x). 
Standard formulas are available for ln(1+x) and ln x. How do i expand or
simplify ln (1+x^2). 
Thanks.

Since you say you have a standard formula available for
ln(1+x) you can just replace x by x² in that standard formula 
and you'll have a formula for ln(1+x²).

And since you also say you have a standard formula available for 
ln(x), then you only need " ln(1+x²) - ln(x) ", which you can
easily get by subtracting these.

Edwin
AnlytcPhil@aol.com