Chapter 9 - Section 9.7 - Common Logarithms, Natural Logarithms, and Change of Base - Exercise Set - Page 586: 95

Please see the graph.

$f(x)=ln x -3$ $x=e$ $f(x)=ln x -3$ $f(e)=ln e -3$ $f(e) =1-3$ $f(e) =-2$ $x=e^2$ $f(x)=ln x -3$ $f(e^2)=ln {e^2} -3$ $f(e^2) =2-3$ $f(e^2) =-1$ $x=e^3$ $f(x)=ln x -3$ $f(e^3)=ln {e^3} -3$ $f(e^3) =3-3$ $f(e^3) =0$ $(e,-2)$, $(e^2, -1)$, and $(e^3, 0)$ are on the curve.