Homework due 1/6

Which of the following shows logarithmic form?

•  $\log_9\ 1=0$  
  

•  $9^0=1$  

Which of the following is the base?

 $7^2=49$  

• 2

• 7

• 4

• 10

Which of the following is the base?

 $\log_5\ 25\ =2$  

• 2

• 7

• 4

• 10

Which of the following is the base?

 $\log\ 100\ =3$  

• 3

• 100

• x

• 10

Rewrite the following in logarithmic form.

 $3^5=\ 243$  

•  $\log_3\ 5=243$  

•  $\log_3\ 243=5$  

•  $\log_5\ 243=3$  

•  $\log_{5\ }\ 3=243$  

Rewrite the following in logarithmic form.

 $6^3=216$  

•  $\log_3216=6$  

•  $\log_{216}6=3$  

•  $\log_63=216$  

•  $\log_6216=3$  

Rewrite in exponential form:  $\log_{23}\ 1=0$  

•  $23^1=0$  

•  $23^0=1$  

•  $0^{23}=1$  

•  $1^{23}=0$  

Tags

CCSS.HSF.BF.B.5

Rewrite in exponential form:  $\log_4\ \frac{1}{64}=-3$  

•  $\left(\frac{1}{64}\right)^{-3}=4$  

•  $4^{\frac{1}{64}}=-3$  

•  $\left(-3\right)^4=\frac{1}{64}$  

•  $4^{-3}=\frac{1}{64}$  

Tags

CCSS.HSF.BF.B.5

What would be the next step in rewriting the following in exponential form?

 $\log_3\ 81$  

• the base is $10$  

• set this equal to x

• find $81^3$  

How do we rewrite as a full logarithmic equation?

 $\log_3\ 81$  

•  $\log_3\ 81=x$  

•  $\log_3\ 81=10$