Chapter 12.3, Problem 103ES

a. Use a graphing utility (and the change-of-base property) to graph $y={\text{ log}}_{\text{3}}x$ .

b. Graph $y=2+{\text{ log}}_{\text{3}}x$ , $y={\text{log}}_{\text{3}}x\left(x+2\right)$ , and $y=-{\text{log}}_{\text{3}}x$ in the same viewing rectangle as $y={\text{ log}}_{\text{3}}x$ . Then describe the change or changes that need to be made to the graph of $y={\text{ log}}_{\text{3}}x$ to obtain each of these three graphs.