Express as a Single Logarithm $\left( \log _ { a } x - \log _ { a } y \right) + 5 \log _ { a } z$

question 215

Multiple Choice

Express as a single logarithm.
- $\left( \log _ { a } x - \log _ { a } y \right) + 5 \log _ { a } z$

• A) \(\log _ { a } \frac { x } { z ^ { 5 } y }\)
• B) \(\log _ { a } \frac { 5 x z } { y }\)
• C) \(\log _ { \mathrm { a } } \frac { \mathrm { xz } 5 } { \mathrm { y } }\)
• D) \(\log _ { a } x z ^ { 5 } y\)

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Definitions:

Interrelated Hypotheses

Interrelated hypotheses are hypotheses that are connected or have a logical relationship with each other within a broader research context.

Parsimony

The principle that among competing hypotheses that predict equally well, the one with the fewest assumptions should be selected.

Propositions

Statements or assertions that express judgments or opinions that can potentially be proven true or false.

Theory

A system of ideas intended to explain something, based on general principles independent of the thing to be explained.