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Without using a calculator, enter the value of the following logarithms:
1)
log
2
2 =
2)
log
2
1 =
3)
log
12
1 =
4)
log
2
4 =
5)
log
2
(1/4) =
6)
log
2
16=
7)
log
2
(1/16) =
8)
log
24
24 =
9)
log
10
10000000 =
10)
log
3
729 =
11)
log
10
Ö
10=
12)
log
4
0.25 =
13)
log
0.25
4 =
14)
log
0.25
16 =
15)
log
a
a
n
=
16)
log
(2/3)
(4/9) =
17)
log
(2/3)
(9/4) =
18)
log
a
(a
n
´
a
m
) =
19)
log
a
(a
n
÷
a
m
) =
20)
log
a
(a
n
)
m
=
Investigation
Choose a base number
b > 0
here:
b =
Choose two positive numbers:
X =
Y =
Then:
log
b
X =
log
b
Y =
log
b
(XY) =
log
b
X =
log
b
Y =
log
b
(X/Y) =
What do you notice?
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