Chapter 5.5, Problem 85E

(a)

To determine

The domain of function $f(x)={\log }_{10}x$.

(b)

To determine

To calculate: The value of $f^{-1}$ for the function c.

(c)

To determine

The interval in which $f(x)$ lies when $x$ lies between 1000 and 10,000, where $f(x)={\log }_{10}x$.

(d)

To determine

The interval in which $x$ will lies if $f(x)$ is negative, where $f(x)={\log }_{10}x$.

(e)

To determine

The factor by which $x$ will increase when $f(x)$ is increased by one unit, where $f(x)={\log }_{10}x$.

(f)

To determine

To calculate: The ratio of $x_1$ to $x_2$ given that $f\left(x_1\right)=3n$ and $f\left(x_2\right)=n$, where $f(x)={\log }_{10}x$.