# AMaths (Logarithms)

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```Secondary 3 Express
Additional Mathematics
E-Learning 2008
Logarithms
Instructions to Students:
(1)You are to go to the website
provided on the next slide to
study the topic on Logarithms.
Please click on the following link to
get to the required website and if
the link does not work, please type in
the URL on your own web browser.
http://tutorial.math.lamar.edu/Classes/Alg/LogFunctions.aspx
Instructions to Students:
(2) Now that you have finished
going through the notes on the
website, you are to complete
the following questions
provided in the subsequent
slides.
Instructions to Students:
(3) All solutions are to be
written on foolscap paper and
to be submitted to your
respective AMaths teachers on
4th Feb 2008 (Mon).
Practice Questions:
Convert the following to logarithmic form:
3
3
(2)
(1)
(3)
2 8
5
2  32
5  125
(4)
3
2
1

9
Convert the following to index form:
(5)
4  log 2 16
(6)
1
 log 3 3
2
Practice Questions:
Evaluate each of the following logarithms:
(7)
log 3 81
1
(9) log 4
16
(8)
log 2 2
(10)
1
log 3
27
Practice Questions:
Simplify each of the following logarithms:
2 3
(12)
(11)
2
3
log x y
x 
log 4  2 
y 
3
(13)
log ( xy)
4
 ( x  y) 
(14) log 

5
 ( 2 y  x) 
2
Practice Questions:
Express each of the following as a single logarithm:
2 log 3 x  5 log 3 y (16) 3 log 5 x 2  2 log 5 y
1
2
(17)
(18)
ln x  3 ln y
2 ln x  4 ln y  3 ln z
2
(15)
(19)
4 ln( x  y )  2 ln( y  x)
(20)
5 ln( 2 x)  3 ln( zy )  2 ln( 4 y )
The End
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