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.
Do you need more help? Please post your question on our S.O.S. Mathematics CyberBoard.
Author: Nancy Marcus