Chapter 8.4, Problem 1PE

a. The function defined by $y={\log }_{b}x$ is called the function with base . The values of x and b are positive, and $b\ne 1$ .

b. Given $y={\log }_{b}x$ , we call y the , we call b the , and we call x the .

c. In interval notation, the domain of $y={\log }_{b}x$ is and the range is .

d. A logarithmic friction base b is the inverse of the function base b.

e. The logarithmic function base 10 is called the logarithmic function and is denoted by $y=\log x$ .

f. The graph of a logarithmic function is (increasing/decreasing) if the base $b>1$ , whereas the graph is (increasing/decreasing) if the base is between 0 and 1.

g. Which values of x are not in the domain of $y=\log \left(x-4\right)$ ? $x=2,x=3,x=4,x=5,x=6$

h. The graphs of a logarithmic friction base b and all exponential friction base b are symmetric with respect to the line .