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Logarithmic Properties and Operations

Authored by Victor Ambriz

Mathematics

9th - 12th Grade

CCSS covered

Used 1+ times

Logarithmic Properties and Operations
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20 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

 Choose the correct expanded common logarithm:

log⁡(4x)\log(4x)

log⁡4−log⁡x\log4-\log x  

log⁡4+log⁡x\log4+\log x  

4log⁡x4\log x  

xlog⁡4x\log4  

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8

CCSS.HSA.SSE.B.3

2.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

Choose the correct expanded common logarithm:

log⁡(xy)\log\left(\frac{x}{y}\right)  

log⁡x+log⁡y\log x+\log y  

xlog⁡yx\log y  

log⁡(x−y)\log(x-y)  

log⁡x−log⁡y\log x-\log y  

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8

CCSS.HSA.SSE.B.3

3.

MULTIPLE CHOICE QUESTION

1 min • 2 pts

Choose the correctly condensed logarithm

2log⁡3u−log⁡3z2\log_3u-\log_3z  

2log⁡3(uz)2\log_3\left(\frac{u}{z}\right)  

log⁡3(u2z)\log_3\left(\frac{u^2}{z}\right)  

log⁡3(u2−z)  \log_3\left(u^2-z\right)\ \  

2log⁡3(u−z)2\log_3\left(u-z\right)  

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8

CCSS.HSA.SSE.B.3

CCSS.HSA.SSE.A.2

4.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Write logb(xy) as two logs

logbx+logby
logbx-logby
logbx*logby
logbx/logby

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8

5.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Write logb(x/y) as two logs

logbx-logby
logbx+logby
logbx*logby
logbx/logby

Tags

CCSS.HSF.IF.C.8

CCSS.HSA.SSE.B.3

CCSS.HSA.SSE.A.2

6.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Rewrite logb(xn)

nlogbx
(logbx)n
xnlogbx
logb(xn)

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8

CCSS.HSA.SSE.B.3

CCSS.HSA.SSE.A.2

7.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Evaluate Logarithms: Find the value of the given logarithm.

log⁡232=\log_232=  

2

3

4

5

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

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