**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

**Answer:** 2.79588

**Solution:** You can work this problem several ways:

**1.****2.****3.**-

**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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