Assuming All Variables Are Positive, Use Properties of Logarithms to Write

question 78

Multiple Choice

Assuming all variables are positive, use properties of logarithms to write the expression as a sum or difference of
logarithms or multiples of logarithms.
- $\log \sqrt [ 3 ] { \frac { x } { y } }$

• A) \(\frac { \log x } { \log y }\)
• B) \(\frac { 1 } { 3 } \log x - \frac { 1 } { 3 } \log y\)
• C) \(\log \left( \frac { x } { 3 } \right) - \log \left( \frac { y } { 3 } \right)\)
• D) \(\frac { \log ( \sqrt [ 3 ] { x } ) } { \log ( \sqrt [ 3 ] { y } ) }\)

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Definitions:

Interosseous Membranes

Fibrous sheets that connect the bones of the forearm (radius and ulna) and the bones of the leg (tibia and fibula), providing stability and assisting in force transfer.

Cartilage Discs

Thin, flexible, and tough structures made of cartilage, located between vertebrae or in joints, serving as cushioning and enabling smooth movements.

Range of Motion

The full movement potential of a joint, usually its range of flexion and extension; important for flexibility and health.

Synchondrosis

A type of cartilaginous joint where bones are joined by hyaline cartilage, allowing for bone growth or slight movement.