Properties of Logarithms, Division and Multiplication

Thread starter Chase.
Start date Dec 8, 2011
Tags

Division Logarithms Multiplication Properties

AI Thread Summary

The discussion focuses on expressing the logarithmic expression loga(x8w/y2z4) in terms of logarithms of x, y, z, or w. Participants reference key logarithmic properties, specifically the quotient and product rules. An initial attempt at solving the problem reveals a common mistake of not properly handling exponents. The realization of this error leads to a corrected approach in the solution process. The conversation emphasizes the importance of accurately applying logarithmic properties when simplifying expressions.

Dec 8, 2011

Chase.

Homework Statement

Express in terms of logarithms x, y, z or w.

Problem:

log_a(x⁸w/y²z⁴)

Homework Equations

log(u/w) = log u - log w
log(uw) = log u + log w

The Attempt at a Solution

Here are my attempts:

As you can see, the answers are pretty similar. I'm assuming I made a small syntactical mistake.

Last edited: Dec 8, 2011

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Dec 8, 2011

Chase.

Nevermind... realized that I didn't bring the exponents out front.

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