Condense the Expression to the Logarithm of a Single Quantity $\frac { 1 } { 2 } \left[ \log _ { 9 } ( x + 6 ) + 2 \log _ { 9 } ( x - 6 ) \right] - 12 \log _ { 9 } x$

question 16

Multiple Choice

Condense the expression to the logarithm of a single quantity.? $\frac { 1 } { 2 } \left[ \log _ { 9 } ( x + 6 ) + 2 \log _ { 9 } ( x - 6 ) \right] - 12 \log _ { 9 } x$ ?

• A) \(\log _ { 9 } \frac { ( x + 6 ) \sqrt { x - 6 } } { x ^ { 6 } }\)
• B) \(\log _ { 9 } \frac { x ^ { 12 } \sqrt { x - 6 } } { ( x + 6 ) }\)
• C) \(\log _ { 9 } \frac { x ^ { 6 } \sqrt { x - 6 } } { ( x + 6 ) }\)
• D) \(\log _ { 9 } \frac { x ^ { 12 } \sqrt { x + 6 } } { ( x - 6 ) }\)
• E) \(\log _ { 9 } \frac { ( x - 6 ) \sqrt { x + 6 } } { x ^ { 12 } }\)

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Definitions:

Fast-mapping

A cognitive process in children that involves quickly learning and retaining new words or concepts after minimal exposure.

Irreversibility

The cognitive inability in children to understand that actions can be reversed to return to the original state.

Piagetian Characteristic

Pertaining to the developmental stages and theories of cognitive development introduced by Jean Piaget.