Rewrite the Expression as the Sum And/or Difference of Logarithms $\log _ { 17 } \sqrt { \frac { \mathrm { mn } } { 8 } }$

question 107

Multiple Choice

Rewrite the expression as the sum and/or difference of logarithms, without using exponents. Simplify if possible.
- $\log _ { 17 } \sqrt { \frac { \mathrm { mn } } { 8 } }$

• A) \(\frac { 1 } { 2 } \log _ { 17 } \mathrm {~m} + \frac { 1 } { 2 } \log _ { 17 } \mathrm { n } - \log _ { 17 } 8\)
• B) \(\frac { 1 } { 2 } \log _ { 17 } \mathrm { mn } - \frac { 1 } { 2 } \log _ { 17 } 8\)
• C) \(\frac { 1 } { 2 } \log _ { 17 } \mathrm {~m} + \frac { 1 } { 2 } \log _ { 17 } \mathrm { n } - \frac { 1 } { 2 } \log _ { 17 } 8\)
• D) \(\frac { 1 } { 2 } \log _ { 17 } \mathrm {~m} \cdot \frac { 1 } { 2 } \log _ { 17 } \mathrm { n } \div \frac { 1 } { 2 } \log _ { 17 } 8\)

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Definitions:

Cornea

The clear, outer layer at the front of the eye that helps focus incoming light onto the retina.

Golgi Tendon Organs

Sensory receptors located at the junction of muscles and tendons that monitor tension developed in muscles.

Proprioceptors

Proprioceptors are sensory receptors located in muscles, tendons, and joints that help to convey information about body position and movement.

Dermis

The dermis is the thick layer of living tissue below the epidermis that forms the true skin, containing sweat glands, hair follicles, and blood vessels.