Converting and Evaluating Logarithms

Convert to exponential form.
 $\log_416=2$  

•  $16^2=4$  

•  $16^4=2$  

•  $4^2=16$  

•  $4^4=16$  

Tags

CCSS.HSF.BF.B.5

Convert to logarithmic form.

 $5^3=125$  

•  $\log_3125=5$  

•  $\log_{125}5=3$  

•  $\log_53=125$  

•  $\log_5125=3$  

Tags

CCSS.HSF.BF.B.5

 Convert to exponential form. $\log_42x=3$  

•  $4^3=2x$  

•  $4^{2x}=3$  

•  $3^4=2x$  

•  $3^{2x}=4$  

Tags

CCSS.HSF.BF.B.5

Convert to logarithmic form.

 $5^{4x-1}=350$  

•  $\log_5\left(4x-1\right)=350$  

•  $\log_{350}5=4x-1$  

•  $\log_5350=4x-1$  

•  $\log_{350}\left(4x-1\right)=5$  

Tags

CCSS.HSF.BF.B.5

Evaluate the logarithm using the change of base formula.    

 $\log_2256=x$  

• x = 6

• x = 8

• x = 9.12

• x = 9

Evaluate the logarithm using the change of base formula. Round any decimal to the hundredths place.


 $\log_5175=x$  

• x = 3.86

• x = 3.47

• x = 3.15

• x = 3.21

Evaluate the logarithm using the change of base formula. Round any decimal to the hundredths place.


 $\log_3531441=x$  

• x = 11

• x = 10

• x = 7

• x = 12

 $5^x=67$  

Convert to logarithmic form. Then solve for x. Round any decimal answer to the nearest hundredth place.

• x = 2.61

• x = 2.45

• x = 2.21

• x = 3.1

Tags

CCSS.HSF.BF.B.5

 $2^x=444$  

Convert to logarithmic form. Then solve for x. Round any decimal answer to the nearest hundredth place.

• x = 8.79

• x = 8.24

• x = 8.93

• x = 8.77

Tags

CCSS.HSF.BF.B.5

 $\log_3\left(2x+1\right)=2$  

Convert to exponential form. Then solve for x.

• x = -2

• x = 3

• x = 9

• x = 4

Tags

CCSS.HSF.BF.B.5