Introduction To Logarithms Worksheet Page 2
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1
2
3
4Example
E valuating
L ogarithms
Write
t he
f ollowing
i n
e xponential
f orm
t hen
e valuate
!"
3a)
l og
8
3b)log
16
3c)log
!
!
!
!"
!
FREEZE!
L ogarithm
W ar
T ime
Properties
o f
L ogarithm
Complete
c olumns
1
–
3
f irst
t hen
m ake
a
c onjecture.
��
log
��
log
��
log
(�� ∙
��)
log
!
!
!
!
��
10
log
10 =
____
log
1000 =
____
log
10 ∙ 1000 = ____
!"
!"
!"
log
= ____
!"
1000
8
log
8 =
____
log
4 =
____
log
8 ∙ 4 = ____
!
!
!
log
= ____
!
4
27
log
27 = ____
log
9 = ____
log
27 ∙ 9 = ____
!
!
!
log
=
_____
!
9
Complete
t he
f ollowing
t able
a nd
d iscuss
t he
r esults.
!
!
log
��
��log
��
log
��
________��log
��
!
!
!
!
!
!
3log
10 =
____
log
10
= ____
log
10
______3log
10
!"
!"
!"
!"
!
!
log
4
= ____
2log
4 =
____
log
4
______2log
4
!
!
!
!
Discussion
( Properties
o f
l ogarithm)
a) What
c onjecture
c an
y ou
m ake
a bout
t he
r elationship
b etween log
��,
l og
��,
a nd
l og
�� ∙ �� ?
!
!
!
!
b) What
c onjecture
c an
y ou
m ake
a bout
t he
r elationship
b etween
l og
��,
l og
��,
a nd
l og
?
!
!
!
!
!
c) What
c onjecture
c an
y ou
m ake
a bout
t he
r elationship
b etween
l og
��
a nd
�� log
��?
!
!
Product
P roperty
Quotient
P roperty
Power
P roperty
��
!
log
���� =
log
��
=
!
!
log
=
!
��
Example
W riting
P roperties
a nd
C ombining
a s
a
S ingle
L ogarithm
State
t he
p roperty
o r
p roperties
a nd
r ewrite
e ach
e xpression
a s
a
s ingle
l og.
1a)
l og
8 + log
5
1b)
l og
27 − log
3
1c)
2 log
�� + 3log
��
!
!
!
!
!
!
1d)
3 log
2 − 2log
5
1e)
2 log
8 − log
4 + 3log
��
!
!
!
!
!
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