The document discusses logarithmic laws including the product rule, quotient rule, and power rule. The product rule states that log(AB) = log(A) + log(B), meaning the logarithm of a product is the sum of the logarithms. The quotient rule is log(A/B) = log(A) - log(B), so the logarithm of a quotient is the difference of the logarithms. Finally, the power rule is log(A^n) = nlog(A), showing that the logarithm of a power is the coefficient of the logarithm. Examples of applying each rule are provided.

1. Alg2 Trgi lsn 7­2.notebook December 16, 2009
Log Laws
Product Rule:
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2. Alg2 Trgi lsn 7­2.notebook December 16, 2009
log(AB) = log A + log B
Example: 1) Find the value of
2) If log(5) = A and log(3) = B, what is log(15)?
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3. Alg2 Trgi lsn 7­2.notebook December 16, 2009
Log Laws
Quotient Rule:
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Log Laws
Power Rule:
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Law of In symbols How operations are treated when
logarithms to using logarithms
calculate
a product log (A * B) = log A + log B log of product = sum of logs
with logs, multiplication converts to addition
a quotient log (A ÷ B) = log A ­ log B log of quotient = difference of logs
with logs, division converts to subtraction
a power log (A)n = n log A log of power = multiplier of log
with logs, a power converts to
multiplication
a root log (√A) =(1/n) log A log of root = multiplier of log
with logs, a root (fractional power) converts
to multiplication
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the following are in the packet pages 3­5
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