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Logarithm - Change of Base

Authored by Ratna Widayanti

Mathematics

9th - 10th Grade

CCSS covered

Used 52+ times

Logarithm - Change of Base
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13 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

20 sec • 1 pt

Change log⁡5⁡7\log_5⁡7 into the form of log⁡3⁡alog⁡3⁡b\frac{\log_3⁡a}{\log_3⁡b} ,  where  aa and bb are integers

 log⁡3⁡5log⁡3⁡7\frac{\log_3⁡5}{\log_3⁡7}  

 log⁡3⁡7log⁡3⁡5\frac{\log_3⁡7}{\log_3⁡5}  

2.

MULTIPLE CHOICE QUESTION

20 sec • 1 pt

Change log⁡12⁡2\log_{12}⁡2 into the form of log⁡5⁡alog⁡5b\frac{\log_5⁡a}{\log_5b} ,  where  aa and bb are integers

 log⁡512log⁡52\frac{\log_512}{\log_52}  

 log⁡5⁡2log⁡5⁡12\frac{\log_5⁡2}{\log_5⁡12}  

Tags

CCSS.HSF.LE.A.4

3.

MULTIPLE CHOICE QUESTION

20 sec • 1 pt

Change log⁡12⁡2\log_{12}⁡2 into the form of log⁡⁡alog⁡b\frac{\log⁡a}{\log b} ,  where  aa and bb are integers

 log⁡12log⁡2\frac{\log12}{\log2}  

 log⁡⁡2log⁡12\frac{\log⁡2}{\log12}  

Tags

CCSS.HSF.LE.A.4

4.

MULTIPLE CHOICE QUESTION

20 sec • 1 pt

Change log⁡5⁡7\log_5⁡7 into the form of log⁡⁡alog⁡⁡b\frac{\log⁡a}{\log⁡b} ,  where  aa and bb are integers

 log⁡⁡5log⁡⁡7\frac{\log⁡5}{\log⁡7}  

 log⁡⁡7log⁡⁡5\frac{\log⁡7}{\log⁡5}  

Tags

CCSS.HSF.LE.A.4

5.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

If  log⁡3⁡2=a\log_3⁡2=a , express log⁡4⁡18\log_4⁡18  in terms of aa  .

 2aa+2\frac{2a}{a+2}  

 a+22a\frac{a+2}{2a}  

 92a\frac{9}{2a}  

 9a6\frac{9a}{6}  

Tags

CCSS.HSF.LE.A.4

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8

6.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

If  log⁡3⁡2=a\log_3⁡2=a , express log⁡2⁡12\log_2⁡12  in terms of aa  .

 2a+1a\frac{2a+1}{a}  

 a2a+1\frac{a}{2a+1}  

 6a6a  

 2+aa\frac{2+a}{a}  

Tags

CCSS.HSF.LE.A.4

CCSS.HSF.BF.B.5

CCSS.HSA.SSE.B.3

7.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

If  log⁡3⁡2=a\log_3⁡2=a , express log⁡47⁡2\log_47⁡2  in terms of aa  .

 3a+22a\frac{3a+2}{2a}  

 2a+32\frac{2a+3}{2}  

 2a+32a\frac{2a+3}{2a}  

 3a+2a\frac{3a+2}{a}  

Tags

CCSS.HSF.BF.B.5

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