Consider the functions f(x) = \ln\!\left(x\right) and g(x) = x-1 . These are
continuous and differentiable for x > 0 . In this problem we use
the Racetrack Principle to show that one of these functions is greater
than the other, except at one point where they are equal.

**(a)**
Find a point

**(b)**
Find the equation of the tangent line to

**(c)**
Based on your work in (a) and (b), what can you say about the derivatives
of

**(d)**
Therefore, the Racetrack Principle gives

You can earn partial credit on this problem.