Let a be a positive number such that a does not equal 1, let
n be a real number, and let u and v be positive real numbers.
Logarithmic Rule 3: .
Example 2: Find
Solution: You can work this problem several ways:
Example 3: Find .
Solution 1:The expression can be written which in turn can be written . This last expression can be rewritten using Rule 1 as
This represents 12 identical terms and we can write the sum of the 12 terms as .
Check: The original expression can be written
The last expression can be written
If you would like to review another example, click on Example
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Author: Nancy Marcus