Condense the Expression $\frac { 1 } { 5 } \left[ \log _ { 4 } x + \log _ { 4 } 6 \right] - \left[ \log _ { 4 } y \right]$

question 58

Multiple Choice

Condense the expression $\frac { 1 } { 5 } \left[ \log _ { 4 } x + \log _ { 4 } 6 \right] - \left[ \log _ { 4 } y \right]$ to the logarithm of a single term.

• A) \(\log _ { 4 } \frac { ( 6 x ) ^ { 5 } } { y }\)
• B) \(\log _ { 4 } \frac { 6 x } { 5 y }\)
• C) \(\log _ { 4 } \sqrt [ 5 ] { \frac { 6 x } { y } }\)
• D) \(\log _ { 4 } \frac { \sqrt [ 5 ] { 6 x } } { y }\)
• E) \(\log _ { 4 } \sqrt [ 5 ] { 6 x } - \log _ { 4 } y\)

---

Definitions:

Vestibule

An anteroom or small foyer leading into a larger space, such as a lobby entrance of a building or a hallway.

Oxytocin

A hormone and neurotransmitter involved in childbirth and lactation, also known for its roles in facilitating social bonds and behaviors.

Uterine Fibroids

Noncancerous growths of the uterus that often appear during childbearing years, which can lead to various symptoms, including heavy menstrual bleeding and pelvic pain.

Hormonal Imbalances

A condition where there is too much or too little of a particular hormone in one's bloodstream, which can affect bodily functions and health.