Use the Product, Quotient, and Power Rules of Logarithms to Rewrite

question 138

Multiple Choice

Use the product, quotient, and power rules of logarithms to rewrite the expression as a single logarithm. Assume that all
variables represent positive real numbers.
- $\frac { 2 } { 7 } \log _ { a } x + \frac { 1 } { 5 } \log _ { a } y$

• A) \(\frac { 2 } { 35 } \log _ { a } x y\)
• B) \(\log _ { a } \left( x ^ { 2 / 7 } y ^ { 1 / 5 } \right)\)
• C) \(\log _ { a } \left( y ^ { 2 / 35 } \right)\)
• D) \(\log _ { a } \left( x y ^ { 2 / 35 } \right)\)

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Definitions:

Monetary Damages

Financial compensation awarded in civil lawsuits for loss or injury as a result of the defendant's actions.

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Government bodies responsible for implementing, administering, and enforcing regulations and statutes.

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In constitutional law and administrative law, a process whereby a legislature effectively hands over some of its legislative power to an administrative agency that it has created, thus giving the agency power to make law within the limits set by the legislature. In contract law, a transaction whereby a person who owes a legal duty to perform under a contract appoints someone else to carry out his performance.

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The philosophy of law. Also sometimes used to refer to the collected positive law of some jurisdiction.