Use the Properties of Logarithms to Expand the Expression as a Sum

question 71

Multiple Choice

Use the properties of logarithms to expand the expression as a sum, difference, and/or constant multiple of logarithms.(Assume all variables are positive.) $\log _ { 8 } \frac { x ^ { 3 } } { y ^ { 3 } z ^ { 3 } }$

• A)3log₈ x + 3log₈ y + 3log₈ z
• B)3log₈ x + 3log₈ y - 3log₈ z
• C) \(\frac { 3 \log _ { 8 } x } { 3 \log _ { 8 } y \times 3 \log _ { 8 } z }\)
• D)3log₈ x - 3log₈ y - 3log₈ z
• E)3log₈ x - 3log₈ y + 3log₈ z

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Definitions:

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Intentions

Plans or objectives that one intends to accomplish or achieve, reflecting a person's motivation and purpose.

Consequences

The outcomes or results that follow directly from actions or decisions.

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Classifications of humans into groups based on physical traits, ancestry, genetics, or social relations, often used for demographic purposes but critiqued for reinforcing stereotypes.