Chapter 3.3, Problem 3CP

Carry out the steps of Computer Problem 2 forIn $x$, for inputs $x$ between

${10}^{-4}$ and ${10}^4$ . Use $\left[1,e\right]$ as the fundamental domain. What is the degree of the interpolation polynomial that guarantees 10 correct digits? Your program should begin by finding the integer $k$

such that $e^k\le x<e^{k+1}$ Then $x{e}^{-k}$

lies in the fundamental domain. Demonstrate the accuracy of your program by comparing it with MATLIB’S $\log$ command.