Question

For `f(x)=lnxe^(5x)` what is the equation of the tangent line at `x=ln(1/5)`?

Answer 1

`x=ln(1/5)=-ln 5= -1.609.. < 0`
As ln x is a factor of f(x), negative x is inadmissible for ln x, and so., for f(x)..