Simplify using basic simplification. f(x)=ln[(sqrt(x^2+1))/(x(2x^3-1)^2)]

f(x) = ln(x^2 + 1)^(1/2) - (ln x + ln(2x^3 - 1)^2

= (1/2) ln(x^2 + 1) - ln x - 2ln (2x^3 - 1)