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

question 86

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.
- $$\frac { 1 } { 2 } \log _ { a } x + 3 \log _ { a } y - 2 \log _ { a } x$$

• A) \(\log _ { a } x ^ { 2 } y ^ { 3 }\)
• B) \(\log _ { a } x ^ { 4 } y ^ { 3 }\)
• C) \(\log _ { a } \sqrt { x } y ^ { 3 }\)
• D) \(\log _ { a } \left( \frac { y ^ { 3 } } { x ^ { 3 / 2 } } \right)\)

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Definitions:

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An institution of higher learning that offers undergraduate and potentially graduate degrees in various fields.

Formal Operational Thinking

A stage in Jean Piaget's theory of cognitive development where individuals develop the ability to think about abstract concepts and logically test hypotheses.

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