Logarithm Properties - Product Rule
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Table of Contents Logarithm Properties - Product Rule • The Product Rule for logarithms states that ... N log M log ) N M ( log b b b read as “the log of the product is the sum • Example 1: 2 . 9 log 7 log ) 2 . 9 7 ( log 3 3 3 • Example 2: ) 174 10 ( log 174 log 10 log 5 5 5
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Logarithm Properties - Product Rule. The Product Rule for logarithms states that. read as “the log of the product is the sum of the logs.”. Example 1:. Example 2:. . . Logarithm Properties - Product Rule. Example 3:. - PowerPoint PPT Presentation
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Table of Contents
Logarithm Properties - Product Rule
• The Product Rule for logarithms states that ...
NlogMlog)NM(log bbb read as “the log of the product is the sum of the logs.”
• Example 1:
2.9log7log)2.97(log 333
• Example 2:
)17410(log174log10log 555
Table of Contents Slide 2
Logarithm Properties - Product Rule
• Example 3:
Show that log 30 is equivalent in value to log 3 + log 10.
The product rule states that ...
10log3log)103log(30log
log 30 = ...
and log 3 + log 10 = ...
... which are the same.
Table of Contents Slide 3
Logarithm Properties - Product Rule
• Example 4:
Show that ln 48 is equivalent in value to ln 4 + ln 12.
The product rule states that ...
12ln4ln)124ln(48ln
ln 48 = ...
and ln4 + ln 12 = ...
... which are the same.
Table of Contents
Logarithm Properties - Product Rule
