Write the Expression as the Sum or Difference of Single $\log _ { 5 } \frac { \sqrt [ 4 ] { x } \sqrt [ 3 ] { y } } { z ^ { 2 } }$

question 30

Multiple Choice

Write the expression as the sum or difference of single logarithms.
- $\log _ { 5 } \frac { \sqrt [ 4 ] { x } \sqrt [ 3 ] { y } } { z ^ { 2 } }$

• A) \(\frac { 1 } { 4 } \log _ { 5 } x + \frac { 1 } { 3 } \log _ { 5 } y - 2 \log _ { 5 } z\)
• B) \(\frac { 4 } { 5 } \log _ { 5 } x + \frac { 3 } { 5 } \log _ { 5 } y - \frac { 2 } { 5 } \log _ { 5 } z\)
• C) \(\frac { 1 } { 4 } \log _ { 5 } x \cdot \frac { 1 } { 3 } \log _ { 5 } y \div 2 \log _ { 5 } z\)
• D) \(4 \log _ { 5 } x + 3 \log _ { 5 } y - 2 \log _ { 5 } z\)

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Definitions:

Cataracts

Cloudy areas that form in the lens of the eye that prevent light from reaching visual receptors.

Conjunctivitis

A contagious infection of the conjunctiva caused by bacteria, viruses, and allergies. The symptoms may include discharge, red eyes, itching, and swollen eyelids; also commonly called pinkeye.

Cataracts

A condition where the lens of the eye becomes progressively opaque, leading to blurred vision.

Glaucoma

A group of eye conditions that damage the optic nerve, potentially leading to blindness if not treated, often associated with high intraocular pressure.