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 4: Find .
Solution: You cannot take the log of a negative number. In terms of
exponents, there is no exponent t such that will equal a negative
Example 5: Find .
Solution: Since is a positive number, you can find the log. Then
Note: You cannot use Logarithmic Rule 3 to simplify the expression
to because you cannot
take the log of a negative number.
If you would like to review another example, click on Example.
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Author: Nancy Marcus