Lesson_8.4_LawsofLogs.notebook
8.4 Laws of Logarithms
Recall:
Exponent Laws
(1) Products
(2) Quotients
(3) Power of a Power
(a
m
)(a
n
) = a
m + n
(a
m
)
÷
(a
n
) = a
m n
(a
m
)
n
= a
mn
We can derive similar laws for logarithms.
#1: Product Law for Logarithms
Determine an equivalent expression for log
a
(mn), where
a
,
m
, and
n
are positive numbers and
a
≠1.
Laws of Logarithms
(provided a > 0, m > 0, n > 0, and a ≠ 1)
log
a
(mn) =
log
a
(m/n) =
log
a
(m)
c
=
Example 1
Express as a single logarithm.
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- Spring '11
- sda
- loga
-
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