Rewrite the Expression as the Sum And/or Difference of Logarithms $\log _ { n } \sqrt [ 7 ] { \frac { 6 x ^ { 5 } } { z ^ { 9 } } }$

question 81

Multiple Choice

Rewrite the expression as the sum and/or difference of logarithms, without using exponents. Simplify if possible.
- $\log _ { n } \sqrt [ 7 ] { \frac { 6 x ^ { 5 } } { z ^ { 9 } } }$

• A) \(\frac { 1 } { 7 } \log _ { n } 6 + \frac { 5 } { 7 } \log _ { n } x - \frac { 9 } { 7 } \log _ { n } z\)
• B) \(\frac { 1 } { 7 } \log _ { n } 6 + 5 \log _ { n } x - 9 \log _ { n } z\)
• C) \(\frac { 1 } { 7 } \log _ { n } 6 - \frac { 5 } { 7 } \log _ { n } x - \frac { 9 } { 7 } \log _ { n } z\)
• D) \(\frac { 1 } { 7 } \log _ { n } 6 + \frac { 5 } { 7 } \log _ { n } x + \frac { 9 } { 7 } \log _ { n } z\)

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Definitions:

Orthopedic Unit

A specialized department within a hospital focused on the treatment of patients with skeletal system and associated muscles, joints, and ligaments conditions.

Managed Care

Health care system in which there is administrative control over primary health care services. Redundant facilities and services are eliminated, and costs are reduced. Preventive care and health education are emphasized.

Prevention

The act of stopping something from happening or arising, often referring to measures taken to prevent diseases or accidents.

Illness Care

The management and treatment of a patient suffering from disease or injury.