91Ó°ÊÓ

Sodium- 24 has a half-life of 15 hours. How much sodium- 24 will you have after 60 hours if your original sample is 64 \(\mathrm{mg}\) ? \(\begin{array}{lllll}{\text { F. } 4 \mathrm{mg}} & {\text { G. } 16 \mathrm{mg}} & {\text { H. } 32 \mathrm{mg}} & {} & {\text { 1. } 64 \mathrm{mg}}\end{array}\)

Zoology Conservation efforts have increased the endangered Florida manatee population from 1465 in 1991 to 3276 in 2001 . If this growth rate continues, when might there be \(10,000\) manatees? Explain the reasoning behind your choice of a model.

Write true or false for each statement. Justify your answer. \(\log x+\log \left(x^{2}+2\right)=\log \left(x^{3}+2 x\right)\)

Open-Ended Write a real-world problem that you can answer using Newton's Law of Cooling. Then answer it.

Write each logarithm as the quotient of two common logarithms. Do not simplify the quotient. $$ \log _{6}(1-x) $$

Write each logarithmic expression as a single logarithm. \(\left(\frac{2 \log _{b} x}{3}+\frac{3 \log _{b} y}{4}\right)-5 \log _{b} z\)

Solve each equation. If necessary, round to the nearest ten-thousandth. $$ 8^{x}=444 $$

Solve the equation \(\log _{b} 9=\frac{1}{2}\)