Write the quantity using sums and differences of simpler logarithmic expressions

Question

Express the answer so that logarithms of products, quotients, and powers do not appear.

 

ln((square root of 4-x^2) / ((x-1)(x+1)^(3/2))

Answer 1

Here are some properties of logarithms that you may find useful  

 

ln(A*B) = ln(A) + ln(B)

ln(A/B) = ln(A) - ln(B)

ln(A^n) = n*ln(A)  

 

Also, square root of A = A^(1/2)