Introduction To Logarithms Worksheet Page 3
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1
2
3
4Example
W riting
P roperties
a nd
E xpanding
L ogarithms
State
t he
p roperty
o r
p roperties
a nd
e xpand
e ach
l ogarithm
!
!
!
2a)
l og
(����)
2b)
l og
��
����
2c)
l og
[ 2��
��]
!
!
!
!
!
(!")
!"
2d)
l og
2e)
l og
!
!
!
!
!
Example
A pplications
o f
L ogarithm
P roperties
The
energy
E
(in
kilocalories
per
gram
molecule)
required
to
transport
a
substance
from
the
outside
to
the
i nside
o f
a
l iving
c ell
i s
g iven
b y
t he
e quation,
�� = 1.4 log ��
) − log(��
,
w here
��
is
t he
c oncentrate
!
!
!
of
t he
s ubstance
o utside
t he
c ell
a nd
��
i s
t he
c oncentrate
i nside
t he
c ell.
!
1. Write
t he
v alue
o f
E
a s
a
s ingle
l ogarithm.
2. If
the
concentration
of
a
particular
substance
inside
a
cell
is
three
times
the
concentration
outside
the
cell,
h ow
m uch
e nergy
i s
r equired
t o
t ransport
t he
s ubstance
f rom
t he
o utside
t o
i nside
t he
c ell?
Homework
Complete
t he
s tatement
t o
v alidate
w hy
t he
f ollowing
i s
t rue.
1) log
1 = 0
s ince
w ritten
i n
e xponential
f orm
_ _____________________.
!
2) log
�� = 1
s ince
w ritten
i n
e xponential
f orm
_ _____________________.
!
!
3) log
��
= ��
s ince
w ritten
i n
e xponential
f orm
_ ____________________.
!
Write
e ach
e quation
i n
l ogarithmic
f orm.
3
0
4
5) 7
=
1
6) 3
=
8 1
4) 5
=
1 25
Write
e ach
e quation
i n
e xponential
f orm.
7) log
2 16
=
3
8) log
6 4
=
6
6
2
9)
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