6.1 Homework: logs

${\text{log}}_{2}8=$

${\text{log}}_{3}9=$

${\text{log}}_{10}10=$

${\text{log}}_{10}100=$

${\text{log}}_{10}1000=$

${\text{log}}_{10}\mathrm{1,000,000}=$

Looking at your answers to exercises #3-6, what does the ${\text{log}}_{10}$ tell you about a number?

Multiple choice: which of the following is closest to ${\text{log}}_{10}500$ ?

• A 1
• B $1\frac{1}{2}$
• C 2
• D $2\frac{1}{2}$
• E 3

${\text{log}}_{10}1=$

${\text{log}}_{10}\frac{1}{10}=$

${\text{log}}_{10}\frac{1}{100}=$

${\text{log}}_2\mathrm{(0.01)}=$

${\text{log}}_{10}0=$

${\text{log}}_{10}\mathrm{(-1)}=$

${\text{log}}_{9}81=$

${\text{log}}_9\frac{1}{9}=$

${\text{log}}_{9}3=$

${\text{log}}_9\frac{1}{81}=$

${\text{log}}_9\frac{1}{3}=$

${\text{log}}_5\mathrm{(54)}=$

$5^{{\text{log}}_{5}4}=$

${\text{log}}_{2}8=3$

${\text{log}}_3\frac{1}{3}=-1$

${\text{log}}_{\mathrm{x}}\mathrm{(1)}=0$

${\text{log}}_{\mathrm{a}}\mathrm{x}=y$

$4^3=64$

$8-\frac{2}{3}=\frac{1}{4}$

${\mathrm{a}}^{\mathrm{b}}=c$

• a Draw a graph of $y={\text{log}}_2\mathrm{x}$ . Plot at least 5 points to draw the graph.
• b What are the domain and range of the graph? What does that tell you about this function?