January 2015
Intermediate to advanced
1015 pages
318h 54m
English
Content preview from Algebra and Trigonometry, 5th Edition
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5.4 Properties of Logarithmic Functions
Convert from logarithms of products, powers, and quotients to expressions in terms of individual logarithms, and conversely.
Simplify expressions of the type and .
We now establish some properties of logarithmic functions. These properties are based on the corresponding rules for exponents.
Logarithms of Products
The first property of logarithms corresponds to the product rule for exponents: .
Example 1
Express as a sum of logarithms: .
Solution
We have
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