Graph the logarithmic function \( g(x)=\log _{2}(x-3) \). To do this, plot two points on the graph of the function, and also draw the asymptote. Then, click on the graph-a-function button. Additionally, give the domain and range of the function using interval notation.

A town has a population of 16000 and grows at \( 4.5 \% \) every year. What will be the population after 8 years, to the nearest whole number?

Use the properties of logarithms to expand the following expression. \[ \log \left(\frac{x^{3}}{\sqrt{(x+6)^{3}}}\right) \] Your answer should not have radicals or exponents. You may assume that all variables are positive. \( \log \left(\frac{x^{3}}{(x+6)^{3}}\right)=\square \)

Complete the conjecture that describes the pattern in the sequence. \( 4,8,12,16,20 \)

de \( \frac{2}{3} \cdot\left(6-\frac{1}{4}\right) ? \)

Determine whether the following equation defines \( y \) as a function of \( x \). \[ \begin{array}{l}x^{2}+y^{2}=121 \\ \text { Yes noes the equation } x^{2}+y^{2}=121 \text { define } y \text { as a function of } x \text { ? } \\ \text { No }\end{array} \]