Chapter 1.7, Problem 71E

(a)

To determine

To sketch the graph of ln(x).

Explanation of Solution

Given information:

Given $\ln (x)\text{is}\text{10}\le \text{x}\le 100,000$

Graph:

The value of $\ln (x)\text{is}\text{10}\le \text{x}\le 100,000$ .

The graph of ln(x) is given below as,

  

(b)

To determine

To sketch the graph of $\ln [\ln (x)]$ .

Explanation of Solution

Given information:

Given $\ln [\ln (x)]\text{is}\text{10}\le \text{x}\le 100,000$

Graph:

The value of $\ln [\ln (x)]\text{is}\text{10}\le \text{x}\le 100,000$

The graph of $\ln [\ln (x)]$ is given below as,

  

(c)

To determine

To sketch:The graph of $\ln [\ln [\ln (x)]]$ .

Explanation of Solution

Given information:

Given $\ln [\ln [\ln (x)]]\text{is}\text{10}\le \text{x}\le 100,000$

Graph:

The value of $\ln [\ln [\ln (x)]]\text{is}\text{10}\le \text{x}\le 100,000$

The graph of $\ln [\ln [\ln (x)]]$ is given below as,

  

(d)

To determine

To calculate: sketch the graph of $e^x$ .

Answer to Problem 71E

The graph of $e^x$ is given below as,

  

Explanation of Solution

Given information:

Given $e^x=0\le x\le 2$

Calculation:

The value of $e^x=0\le x\le 2$

The graph of $e^x$ is given below as,

  

(e)

To determine

To calculate: sketch the graph of $e^{e^x}$ .

Answer to Problem 71E

The graph of $e^{e^x}$ is given below as,

  

Explanation of Solution

Given information:

Given $e^{e^x}=0\le x\le 2$

Calculation:

The value of $e^{e^x}=0\le x\le 2$

The graph of $e^{e^x}$ is given below as,

  

(f)

To determine

To calculate: sketch the graph of $e^{e^{e^x}}$ .

Answer to Problem 71E

The graph of $e^{e^{e^x}}$ is cannot be plotted. Since the machine does not let us to compute it.

Explanation of Solution

Given information:

Given $e^{e^{e^x}}=0\le x\le 2$

Calculation:

The value of $e^{e^{e^x}}=0\le x\le 2$

The graph of $e^{e^{e^x}}$ is cannot be plotted. Since the machine does not let us to compute it.