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.

[Previous Example] [Menu Back to Logarithmic Rule 1]

[Algebra] [Trigonometry] [Complex Variables]

S.O.S MATHematics home page

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

Author: Nancy Marcus

Copyright 1999-2019 MathMedics, LLC. All rights reserved.
Contact us
Math Medics, LLC. - P.O. Box 12395 - El Paso TX 79913 - USA
users online during the last hour