Rewrite the Expression as the Sum And/or Difference of Logarithms $\log _ { a } 8 x ^ { 3 } y z ^ { 5 }$

question 294

Multiple Choice

Rewrite the expression as the sum and/or difference of logarithms, without using exponents. Simplify if possible.
- $\log _ { a } 8 x ^ { 3 } y z ^ { 5 }$

• A) \(\log _ { a } 8 - 3 \log _ { a } x - \log _ { a } y - 5 \log _ { a } z\)
• B) \(8 + \log _ { a } y + \log _ { a } z ^ { 5 }\)
• C) \(\log _ { a } 8 + 3 \log _ { a } x + \log _ { a } y + 5 \log _ { a } z\)
• D) \(15 \log _ { a } 8 x y z\)

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Definitions:

Direct Labor

Labor costs directly tied to the production of goods or services, such as wages for assembly line workers.

Probability Distributions

Mathematical functions that provide the probabilities of occurrence of different possible outcomes for an experiment.

Sample Space

Every conceivable outcome that a statistical trial might produce, gathered together.

Experiment

An experiment is a methodologically designed study that manipulates variables to determine their effect on an outcome, allowing for the testing of hypotheses and cause-and-effect relationships.