Converting and Evaluating Logarithms

Converting and Evaluating Logarithms

10th - 12th Grade

14 Qs

quiz-placeholder

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Converting and Evaluating Logarithms

Converting and Evaluating Logarithms

Assessment

Quiz

Mathematics

10th - 12th Grade

Medium

CCSS
HSF.BF.B.5, HSF.LE.A.4, HSF.IF.C.8

+3

Standards-aligned

Created by

Ryan Yaniak

Used 73+ times

FREE Resource

14 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Convert to exponential form.
 log416=2\log_416=2  

 162=416^2=4  

 164=216^4=2  

 42=164^2=16  

 44=164^4=16  

Tags

CCSS.HSF.BF.B.5

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Convert to logarithmic form.


 53=1255^3=125  

 log3125=5\log_3125=5  

 log1255=3\log_{125}5=3  

 log53=125\log_53=125  

 log5125=3\log_5125=3  

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

3.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

 Convert to exponential form. log42x=3\log_42x=3  

 43=2x4^3=2x  

 42x=34^{2x}=3  

 34=2x3^4=2x  

 32x=43^{2x}=4  

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8

4.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

Convert to logarithmic form.


 54x1=3505^{4x-1}=350  

 log5(4x1)=350\log_5\left(4x-1\right)=350  

 log3505=4x1\log_{350}5=4x-1  

 log5350=4x1\log_5350=4x-1  

 log350(4x1)=5\log_{350}\left(4x-1\right)=5  

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

5.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Evaluate the logarithm using the change of base formula.    

 log2256=x\log_2256=x  

x = 6

x = 8

x = 9.12

x = 9

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

6.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

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


 log5175=x\log_5175=x  

x = 3.86

x = 3.47

x = 3.15

x = 3.21

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

7.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

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


 log3531441=x\log_3531441=x  

x = 11

x = 10

x = 7

x = 12

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

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