RULES OF LOGARITHMS - Problem 2

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 2: tex2html_wrap_inline55

Problem 2: Calculate tex2html_wrap_inline57 .

Before we begin: Since many individuals still have problems with how to simplify the expression tex2html_wrap_inline59 , let's walk through the process. The expression tex2html_wrap_inline59 can be written tex2html_wrap_inline63 which in turn can be written tex2html_wrap_inline65 .

Also the expression tex2html_wrap_inline59 can be written

displaymath69


Solution: tex2html_wrap_inline57 can be written tex2html_wrap_inline73 which can be expanded to

displaymath75


This problem can be solved in several ways:

1
Find

displaymath77

rounded to 0.301.

Check: tex2html_wrap_inline79 .

2
Another way to calculate this problem is to find

displaymath81

rounded to 0.301.

3
Still another way to calculate this problem is to convert

displaymath83

to

displaymath85


If you would like to review another problem, click on Next Problem.

[Previous Problem] [Next Problem] [Menu Back to Rule 2]

[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 1999-2017 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