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Logarithm Properties - Power Rule
• The Power Rule for logarithms states that ...
log b M p  p  log b M
• Example 1:
log 3 6  4  log 3 6
4
• Example 2:
1
log 5 2.71  log 5 2.711/ 3
3
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Logarithm Properties - Power Rule
• Example 3:
Show that log 52 is equivalent in value to 2 log 5.
The power rule states that ...
log 5  2  log 5
2
log 52 = ...
and 2 log 5 = ...
... which are the same.
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Slide 2
Logarithm Properties - Power Rule
• Example 4:
Show that ln 8 is equivalent in value to 3 ln 2.
The power rule states that ...
ln 8  ln 2  3 ln 2
3
ln 8 = ...
3 ln 2 = ...
... which are the same.
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Slide 3
Logarithm Properties - Power Rule
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