Solving Exponentials and Logs Quiz 4.4-4.5

Convert to log form: $3^x=y$  

•  $\log_3x=y$  

•  $\log_3y=x$  

•  $\log_xy=3$  

•  $\log_yx=3$  

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Convert into log form: $e^x=5$  

•  $\ln5=x$  

•  $\log_ex=5$  

•  $\log_xe=5$  

•  $\log e=5$  

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

 $Simplify\ \log_464$  

• 3

• 4

• 2

• 8

 $Simplify\ \log_3\left(\frac{1}{9}\right)$  

• 3

• -3

• 2

• -2

Solve $2^{\left(x+3\right)}=16$  

• -1

• 1

• 7

• 2

 $Solve\ 2^{4x}=8$  

• 1/2

• 3/4

• 4/3

• 2

 $Solve\ 6^x=\ 14$  

•  $\frac{\left(\log\ 7\right)}{\left(\log\ 3\right)}$  

•  $\frac{\left(\log\ 14\right)}{\left(\log\ 6\right)}$  

•  $\log\ \frac{14}{6}$  

•  $\log\ \frac{7}{3}$  

 $Solve\ \log_3\left(5x-1\right)\ =\ \log_3\left(x+7\right)$  

• -2

• 2

• 4/3

• 5

 $Solve\ \log_33x\ =\ 4$  

• 9

• 6

• 27

• 81

What is the first step to solving:
 $\log_5\left(3x+1\right)\ =\ 2$  ?

• Drop logs from both sides

• Exponentiate (convert to exponential form)

• Take the log of both sides (Logify)

• Subtract 1 from both sides