Use the Properties of Logarithms to Expand $\frac { \sqrt { x } } { x - 11 }$

question 147

Multiple Choice

Use the properties of logarithms to expand $\frac { \sqrt { x } } { x - 11 }$ .

• A) \(\frac { 1 } { 2 } \ln x - \ln ( x - 11 )\)
• B) \(\ln \left( \frac { 1 } { 2 } x - \frac { x } { 11 } \right)\)
• C) \(\frac { ( \ln x ) ^ { 1 / 2 } } { \ln x - \ln 11 }\)
• D) \(( \ln x ) ^ { 1 / 2 } - \ln ( x - 11 )\)
• E) \(\frac { 1 } { 2 } \ln x \cdot ( \ln x - \ln 11 )\)

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Definitions:

McCullough Effect

A phenomenon where prolonged exposure to colored gratings causes the visual system to adapt and see complementary colors in grayscale patterns.

Perceptual Constancies

The tendency to perceive objects as unchanging, despite changes in sensory input, such as changes in illumination, angle, or distance.

Bottom-Up Processing

A perceptual approach where processing begins with the sensory input and works up to the formation of a perceptual experience.

Perceptual Hypotheses

A theory in psychology suggesting that perception involves the brain's activity of generating theories about what objects in the external world are most likely to account for the sensory information it receives.