### Home > CCA2 > Chapter 11 > Lesson 11.1.1 > Problem 11-9

11-9.

Consider the function

*f*(*x*) =*e*. Homework Help ✎^{x}What is its inverse function,

*f*^{−1}(*x*)?Investigate

*f*(*x*) and*f*^{−1}(*x*).For what integer value of

*n*is the graph of*f*^{−1}(*x*) between the graphs of*y*= logand_{n}x*y*= log_{n}_{+1}*x*?For what values of

*x*is the graph of*f*^{−1}(*x*) above each of the graphs in your answer to part (c)? For what*x*-values is it below?

If the function is *y* = *e ^{x}* the the inverse function is

*x*=

*e*

^{y}. Now solve for

*y*.

Graph each function. State each function's domain, range, asymptote(s), and intercept(s).

ln *x* = log_{e}x

What is the value of *e*?

When does ln(*x*) = log_{2}(*x*) = log_{3}(*x*)?