You are here:

Advanced Math/Logarithm and exponent properties.

Advertisement

Expert: - 11/21/2009


Question
The problem is "Rewrite each expression as a sum or difference of multiples of logs: log2(square root of xy to the 3rd)

Answer
Questioner: Brad
Country: United States
Category: Advanced Math
Private: No
Subject: Helping daughter with log problem
Question: The problem is "Rewrite each expression as a sum or difference of multiples of logs: log2(square root of xy to the 3rd)
..................................................

log2 [it makes no difference what the base is] adheres to these rules:

log( A B ) = log A + log B

log(sqrt(A)) = 1/2 log A

log( A^3 ) = 3 log A

Now you should be able to work out your:

log2( (sqrt(xy))^3 )

Work from the outside in.

Advanced Math

All Answers

Answers by Expert:

Ask Experts

Volunteer

Paul Klarreich

Expertise

I can answer questions in basic to advanced algebra (theory of equations, complex numbers), precalculus (functions, graphs, exponential, logarithmic, and trigonometric functions and identities), basic probability, and finite mathematics, including mathematical induction. I can also try (but not guarantee) to answer questions on Abstract Algebra -- groups, rings, etc. and Analysis -- sequences, limits, continuity. I won't understand specialized engineering or business jargon.

Experience

I taught at a two-year college for 25 years, including all subjects from algebra to third-semester calculus.

Education/Credentials
-----------

©2012 About.com, a part of The New York Times Company. All rights reserved.