Use Properties of Logarithms to Expand the Logarithmic Expression as Much

question 190

Multiple Choice

Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate
logarithmic expressions without using a calculator.
- $\log _ { 3 } \left( \frac { x ^ { 5 } } { y ^ { 6 } } \right)$

• A) \(5 \log _ { 3 } x - 6 \log _ { 3 } y\)
• B) \(5 \log _ { 3 } x + 6 \log _ { 3 } y\)
• C) \(\frac { 5 } { 6 } \log _ { 3 } \left( \frac { x } { y } \right)\)
• D) \(6 \log _ { 3 } y - 5 \log _ { 3 } x\)

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Definitions:

Testable Hypotheses

Propositions or predictions that are formulated to be rigorously tested and validated through empirical observation and experimentation.

False Consensus Effect

The cognitive bias whereby individuals overestimate the extent to which their beliefs, values, attitudes, or opinions are shared by others.

Oedipus Complex

A psychoanalytic theory describing a child's feelings of desire for the opposite-sex parent and jealousy towards the same-sex parent.

Projection

A defense mechanism where an individual attributes their own unacceptable thoughts or feelings to others.