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LOGARITHMS AND THEIR PROPERTIES A

Total questions: 15

Worksheet time: 11mins

Name
Class
Date
1.

DEFINITION
A logarithm is a(n)  word1word1  or  word2word2  

Submit  word1,word2word1,word2  
(alphabetical order) (no spaces)
(small letters)



(a)  

2.

NAMING A LOGARITHM
 y=logxy=\log x  
 word1word1  logarithm
Submit  word1word1  
(small letters)



(a)  

3.

BASE OF A LOGARITHM
 y=logxy=\log x  

Base  BB  

Submit  BB  



(a)  

4.

EXPONENTIAL FORM OF A LOGARITHM
 log1000=3\log1000=3  
 B P=NB^{\ P}=N  
Submit  B,P,NB,P,N  
(no spaces)

(a)  

5.

CALCULATOR USAGE
 log159N\log159\approx N  

Submit  NN  

(4 decimal places)



(a)  

6.

NAMING A LOGARITHM
 y=lnxy=\ln x  
 word2word2  logarithm
Submit  word2word2  
(small letters)



(a)  

7.

BASE OF A LOGARITHM
 y=lnxy=\ln x  

Base  BB  

Submit  BB  



(a)  

8.

CALCULATOR USAGE
 eNe\approx N  
Submit  NN  
(5 decimal places)

(a)  

9.

CALCULATOR USAGE
 ln753N\ln753\approx N  

Submit  NN  

(4 decimal places)



(a)  

10.

 log25=ln25\log25=\ln25  

a)

True

b)

False

11.

SOLVING A LOGARITHMIC EQUATION
 log 11121=N\log_{\ 11}121=N  
Submit  NN  



(a)  

12.

SOLVING A LOGARITHMIC EQUATION
 log 7N=3\log_{\ 7}N=3  
Submit  NN  



(a)  

13.

SOLVING A LOGARITHMIC EQUATION
 log N256=2\log_{\ N}256=2  
Submit  NN  



(a)  

14.

EXPONENTIAL FORM
 2 9=5122^{\ 9}=512  
LOGARITHMIC FORM

a)

 log 5122=9\log_{\ 512}2=9  

b)

 log 9512=2\log_{\ 9}512=2  

c)

 log 29=512\log_{\ 2}9=512  

d)

 log 2512=9\log_{\ 2}512=9  

15.

CALCULATOR USAGE
 log 8581N\log_{\ 8}581\approx N  

Submit  NN  

(4 decimal places)



(a)