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Log Rules - h1014v1_180
Common and Natural Logarithms
Mathematics Volume 1 of 2
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Algebra
LOGARITHMS
Example 3:
Calculate 3log
10
2.
Solution:
Rule 3.
log
b
(
A
n
) =
n
log
b
A
3log
10
2
= log
10
(2
3
)
= log
10
8
= 0.903
Example 4:
Calculate 4log
10
10.
Solution:
Rule 4.
log
b
b
= 1
4log
10
10
= 4(1)
= 4
Example 5:
Calculate (1/3)log
10
2.
Solution:
Rule 5.
log
b
= log
b
A
1/n
= (1/
n
)log
b
A
n
A
(1/3)log
10
2
= log
10
3
2
= log
10
1.259
= 0.1003
Rev. 0
Page 67
MA-02
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