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Simplify & Evaluate Logs Practice

Authored by Shelly Teal

Mathematics

9th - 12th Grade

CCSS covered

Used 4+ times

Simplify & Evaluate Logs Practice
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83 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

If possible, write this as a single logarithm: 

log⁡124 +log⁡122 −log⁡125\log_{\frac{1}{2}}4\ +\log_{\frac{1}{2}}2\ -\log_{\frac{1}{2}}5  

log⁡121\log_{\frac{1}{2}}1  

log⁡12(85)\log_{\frac{1}{2}}\left(\frac{8}{5}\right)  

log⁡1(12)\log_1\left(\frac{1}{2}\right)  

Not Possible

2.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

If possible, write this as a single logarithm: 

log⁡2M +log⁡3N \log_2M\ +\log_3N\  

log⁡6MN\log_6MN  

log⁡23(MN)\log_{\frac{2}{3}}\left(MN\right)  

log⁡MN(6)\log_{MN}\left(6\right)  

Not Possible

3.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

If possible, write this as a single logarithm: 

log⁡k +xlog⁡m\log k\ +x\log m  

log⁡10(km)\log_{10}\left(km\right)  

log⁡(kmx)\log\left(km^x\right)  

log⁡km(x)\log_{km}\left(x\right)  

Not Possible

4.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

If possible, write this as a single logarithm: 

12log⁡5x+2log⁡5(x+1)\frac{1}{2}\log_5x+2\log_5\left(x+1\right)  

log⁡5(x12(x+1)2)\log_5\left(x^{\frac{1}{2}}\left(x+1\right)^2\right)  

log⁡5(2x+1)\log_5\left(2x+1\right)  

log⁡5(x2+1)\log_5\left(x^2+1\right)  

Not Possible

5.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

If possible, write this as a single logarithm: 

log⁡4−log⁡3 + log⁡π +3log⁡(r)\log4-\log3\ +\ \log\pi\ +3\log\left(r\right)  

log⁡(1+π+3r)\log\left(1+\pi+3r\right)  

log⁡3(4+π+r)\log_3\left(4+\pi+r\right)  

log⁡(43πr3)\log\left(\frac{4}{3}\pi r^3\right)  

Not Possible

6.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

If possible, write this as a single logarithm: 

log⁡6+23\log6+23  

log⁡(6⋅1023)\log\left(6\cdot10^{23}\right)  

log⁡(138)\log\left(138\right)  

log⁡(29)\log\left(29\right)  

Not Possible

7.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Rewrite log28 = 3 in exponential form

28 = 3

23 = 8

32 = 8

83 = 2

Tags

CCSS.HSF.BF.B.5

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