Why do the graphs of these two functions:
$y=-ln(x)$ and
$y= e^-x$
look very similar but do not match?
Dont both of them have a "logarithmic shape"? Or one of them is more like hyperbolic, since it also looks similar to 1/x?? Then why doesn't it match 1/x either? (I know ln'(x) = 1/x but I don't how that can help me)

Is there a way to tweak coefficients a b c d so that both
$y = a\cdot -ln(bx+c) + d$ and
$y = a\cdot e^{-bx}$
would match?