# RULES OF LOGARITHMS - RULE 3 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 1: Find two ways.

Solution: Since can be written , the expression can be written which in turn can be written We have and Example 2: Find .

Solution: The expression can be written which in turn can be written . This last expression can be rewritten using Rule 1 as This represents 6 identical terms and we can write the sum of the six 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.

Problem 1: Find Problem 2: Find Problem 3: Simplify Problem 4: Simplify Problem 5: Simplify Problem 6: Simplify . What assumptions must you make before you can begin work on this problem?

Problem 7: Simplify the following term completely State the domain that makes your final answer equal to the original expression. [Back to Rules of Logarithms] [Back to Exponential Functions]

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