Write as a Logarithm of a Single Expression $3 \log _ { a } ( 2 x + 1 ) - 2 \log _ { a } ( 2 x - 1 ) + 2$

question 84

Multiple Choice

Write as a logarithm of a single expression.
- $3 \log _ { a } ( 2 x + 1 ) - 2 \log _ { a } ( 2 x - 1 ) + 2$

• A) \(\log _ { a } 2 ( x + 1 )\)
• B) \(\log _ { a } ( 2 x + 1 ) + 2\)
• C) \(\log _ { a } ( 2 x + 3 )\)
• D) \(\log _ { a } \frac { a ^ { 2 } ( 2 x + 1 ) ^ { 3 } } { ( 2 x - 1 ) ^ { 2 } }\)

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Definitions:

Motion Sickness

A condition where there is a discrepancy between visually perceived movement and the vestibular system's sense of movement, causing nausea, dizziness, and other symptoms.

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A phenomenon in psychology where our perception of an object's characteristics (such as size, shape, and color) remains constant despite changes in the sensory input.

Size Constancy

The perceptual understanding that an object's size remains the same despite changes in the distance from which it is viewed.

Shape Constancy

The ability of the visual perception system to recognize an object's shape despite its orientation or the angle from which it is viewed.