**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
number.

**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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