Rewrite the Expression as the Sum And/or Difference of Logarithms $$\log _ { 2 } \frac { \sqrt [ 5 ] { m } \sqrt [ 9 ] { n } } { k ^ { 2 } }$$

question 156

Multiple Choice

Rewrite the expression as the sum and/or difference of logarithms, without using exponents. Simplify if possible.
- $$\log _ { 2 } \frac { \sqrt [ 5 ] { m } \sqrt [ 9 ] { n } } { k ^ { 2 } }$$

• A) \(5 \log _ { 2 } m + 9 \log _ { 2 } n - 2 \log _ { 2 } k\)
• B) \(\frac { 5 } { 2 } \log _ { 2 } \mathrm {~m} + \frac { 9 } { 2 } \log _ { 2 } \mathrm { n } - \frac { 1 } { 2 } \log _ { 2 } \mathrm { k }\)
• C) \(\frac { 1 } { 5 } \log _ { 2 } \mathrm {~m} \cdot \frac { 1 } { 9 } \log _ { 2 } \mathrm { n } \div 2 \log _ { 2 } \mathrm { k }\)
• D) \(\frac { 1 } { 5 } \log _ { 2 } \mathrm {~m} + \frac { 1 } { 9 } \log _ { 2 } \mathrm { n } - 2 \log _ { 2 } \mathrm { k }\)

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Definitions:

Stimulus Generalisation

The tendency for the conditioned response to be evoked by stimuli that are similar to the stimulus that originally evoked the response.

Stimulus Generalisation

The process by which a conditioned response is triggered by stimuli that are similar but not identical to the original conditioned stimulus.

Fear Response

The instinctual reaction to perceived danger or threat, involving physiological changes like increased heart rate, aimed at preparing the body for fight or flight.

Spontaneous Recovery

The reappearance of a previously extinguished conditioned response after a period of no exposure to the conditioned stimulus.