RULES OF LOGARITHMS - Example

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:

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

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