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Properties of logarithms Quiz

Authored by Maneesh Sharma

Mathematics

10th Grade

Used 38+ times

Properties of logarithms Quiz
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20 questions

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1.

FILL IN THE BLANKS QUESTION

3 mins • 1 pt

Rewrite log⁡(5)+log⁡(4)\log\left(5\right)+\log\left(4\right)  as  log⁡(c)\log\left(c\right)  

(a)  

2.

MULTIPLE SELECT QUESTION

3 mins • 5 pts

log⁡312\log_312  
Which of the following is a possible expansion for this logarithm? Check all that apply.

log⁡34+log⁡33\log_34+\log_33  

log⁡310+log⁡32\log_310+\log_32  

log⁡32+log⁡36\log_32+\log_36  

log⁡336−log⁡33\log_336-\log_33  

log⁡315−log⁡33\log_315-\log_33  

3.

MULTIPLE SELECT QUESTION

3 mins • 5 pts

log⁡324\log_324  
Which of the following is a possible expansion for this logarithm? Check all that apply.

log⁡34+log⁡320\log_34+\log_320  

log⁡310+log⁡314\log_310+\log_314  

log⁡34+log⁡36\log_34+\log_36  

log⁡348−log⁡32\log_348-\log_32  

log⁡38+log⁡33\log_38+\log_33  

4.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Media Image

log (xy3)
log (x6 − y3)
log (x6/y3)
log (x6 + y3)

5.

MULTIPLE CHOICE QUESTION

3 mins • 5 pts

Which of the logarithms below is equivalent to the following:
2log⁡122\log12  

log 10

log 6

log 24

log 144

6.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Media Image

Evaluate log⁡6 136+log⁡636−5log⁡61\log_6\ \frac{1}{36}+\log_636-5^{\log_61}  . Use the table to approximate the value of the logarithmic expression or use the change-of-base formula to simplify.

11  

55  

1212  

00  

7.

MULTIPLE CHOICE QUESTION

3 mins • 5 pts

Use the properties of logarithms to rewrite as the sum of two logarithms:

log⁡55\log55  

log 40 + log 15

log 50 + log 5

log 11 + log 5

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