Write as the Sum And/or Difference of Logarithms $\log _ { 3 } \left( \frac { x ^ { 2 } } { y ^ { 6 } } \right)$

question 259

Multiple Choice

Write as the sum and/or difference of logarithms. Express powers as factors.
- $\log _ { 3 } \left( \frac { x ^ { 2 } } { y ^ { 6 } } \right)$

• A) \(6 \log _ { 3 } y - 2 \log _ { 3 } x\)
• B) \(2 \log _ { 3 } x + 6 \log _ { 3 } y\)
• C) \(\frac { 1 } { 3 } \log _ { 3 } \left( \frac { \mathrm { x } } { \mathrm { y } } \right)\)
• D) \(2 \log _ { 3 } x - 6 \log _ { 3 } y\)

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Definitions:

Phoneme

The smallest unit of sound in a language that can distinguish meaning, such as the difference between the sounds of "p" and "b" in "pat" and "bat."

Phonology

The study of the organization and system of sounds in languages.

Morpheme

The smallest grammatical unit in a language that carries meaning; can be a word or a part of a word (such as a prefix).

Gestural Linguistics

The study of communication through non-verbal means, such as gestures and body language, particularly in human interactions.