Find the exact value of the logarithm without using a calculator. \[ \log _{3} 9 \] \( \log _{3} 9=\square \) (Type an integer or a simplified fraction.)

Simplify. \( 9^{\frac{3}{2}} \)

Which of the following is equal to \( \log \sqrt[4]{1000} \) ? ( 1 point) \( \begin{array}{l}\frac{3}{4} \\ -\frac{4}{3} \\ -\frac{3}{4}\end{array} \)

c) \( \sqrt[3]{729} \cdot 4^{2}-\sqrt{49} \cdot 5^{0} \cdot 1^{3} \)

Which of the following is the value of \( \log 10^{20} \) ? (1 point) \( \frac{1}{2} \) 2 200 20

The retail flat rate in dollars for first-class mail weighing up to 5 ounces could be computed by the piecewise-constant function \( f \), where \( x \) is the number of ounces. (a) Evaluate \( f(1.1) \) and \( f(4) \). Interpret your results. (b) Sketch a graph of \( f \). What is the domain of \( f \) ? What is the range of \( f \) ?