Math 3: Module 2 Test

Rewrite in Exponential Form

• A

• B

• C

• D

Tags

CCSS.HSF.BF.B.5

Rewrite in Logarithm Form

• A

• B

• C

• D

Tags

CCSS.HSF.BF.B.5

Which value is equivalent to     $\log_{11}\sqrt{11}$ ?

• 0

• 1

• 2

•  $\frac{1}{2}$  

If you know that

 $\log_5x\ -\log_512\ =\ 0$ , which of the following is false? 

•  $\log_5\left(x-12\right)=0$  

•  $\log_5\left(\frac{x}{12}\right)\ =\ 0$  

•  $\log_5x\ =\ \log_512$  

•  $x\ =\ 12$  

 $f\left(x\right)\ =\ 10^x\ and\ g\left(x\right)\ =\ \log\ x.\ \ Which\ of\ the\ following\ statements\ is\ true?$  

• One of the functions is increasing, and one of them is decreasing

•  $g\left(x\right)=\ \log\ x\ has\ a\ horizontal\ asymptote.$  

•  $f\left(x\right)\ =\ 10^x\ has\ a\ vertical\ asymptote.$  

•  $The\ range\ of\ f\left(x\right)\ is\ the\ exact\ same\ as\ the\ domain\ of\ g\left(x\right)$  

Which of the following statements is false? (DNE means "Does not exist")

• $\log_90\ =\ 0\ because\ 9^0\ =\ 0$

• $\log_39\ =\ 2\ because\ 3^2=9$

• $\log_55\ =\ 1\ because\ 5^1=5$

• $\log_40\ =\ DNE\ because\ 4^x\ \ne\ 0\ for\ any\ x$

 $If\ \log_x125\ =\ 3\ then\ \ \ x\ =\$  

• 5

• 25

• 125

• 3

Match each logarithmic equation with its answer        $\log_9729$  

• 3

• -1

• 1

• 0

• 321

Match each logarithmic equation with its answer   $\log_{321}321$  

• 3

• -1

• 1

• 0

• 321

Match each logarithmic equation with its answer      $\log_xx^{321}$ 

• 3

• -1

• 1

• 0

• 321