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Logarithm Introduction

Authored by Sterling Bristow

Mathematics

7th - 12th Grade

CCSS covered

Used 1+ times

Logarithm Introduction
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17 questions

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1.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Rewrite the following equation in exponential form:
 log636=2\log_636=2  

 362=636^2=6  

 26=362^6=36  

 62=366^2=36  

 236=62^{36}=6  

Tags

CCSS.HSF.BF.B.5

2.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Rewrite the equation in exponential form:
 logvu=4\log_vu=4  

 v4=uv^4=u  

 4v=u4^v=u  

 vu=4v^u=4  

 u4=vu^4=v  

Tags

CCSS.HSF.BF.B.5

3.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Rewrite the equation in exponential form:
 log28917=12\log_{289}17=\frac{1}{2}  

 1712=28917^{\frac{1}{2}}=289  

 1217=289\frac{1}{2}^{17}=289  

 28917=12289^{17}=\frac{1}{2}  

 28912=17289^{\frac{1}{2}}=17  

Tags

CCSS.HSF.BF.B.5

4.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Rewrite the equation in logarithmic form:
 92=1819^{-2}=\frac{1}{81}  

 log29=181\log_29=\frac{1}{81}  

 log9 (2)=181\log_9\ \left(-2\right)=\frac{1}{81}  

 log2 (181)=9\log_2\ \left(\frac{1}{81}\right)=9  

 log9 181=2\log_9\ \frac{1}{81}=-2  

Tags

CCSS.HSF.BF.B.5

5.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Rewrite the equation in logarithmic form:
 8b=a8^b=a  

 loga8=b\log_a8=b  

 log8a=b\log_8a=b  

 logba=8\log_ba=8  

 log8b=a\log_8b=a  

Tags

CCSS.HSF.BF.B.5

6.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Evaluate the following expression:  log464\log_464  

3

16

8

2

7.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Evaluate the following expression:
 log3437\log_{343}7  

3

 13\frac{1}{3}  

 17\frac{1}{7}  

7

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