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 1:

Example 5: Suppose that a base is 8 and exponents are 6, .5, and 3. We could simplify the exponential problem by combing the exponents and writing the problem as .

The same is true of logarithms. Suppose you wanted to simplify the expression . You could so by writing

Note: The two expressions and are equivalent expressions. Recall that equivalent expressions do not look the same but will result in the same answer.

If you would like to work a problem, click on Problem.

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Author: Nancy Marcus