Express as the Logarithm of a Single Expression $$\log _ { 4 } x - \log _ { 4 } ( x + 6 ) + \log _ { 4 } \left( x ^ { 2 } - 6 \right)$$

question 110

Multiple Choice

Express as the logarithm of a single expression. Assume that variables represent positive numbers.
- $$\log _ { 4 } x - \log _ { 4 } ( x + 6 ) + \log _ { 4 } \left( x ^ { 2 } - 6 \right)$$

• A) \(\log _ { 4 } \left( x ^ { 2 } - 12 \right)\)
• B) \(\log _ { 4 } \frac { x } { x ^ { 3 } + 6 x ^ { 2 } - 6 x - 36 }\)
• C) \(\log _ { 4 } \frac { x ^ { 2 } + 6 x } { x ^ { 2 } - 6 }\)
• D) \(\log _ { 4 } \frac { x ^ { 3 } - 6 x } { x + 6 }\)

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Definitions:

Timer

An electronic component or software function that counts time intervals for the purpose of delaying actions or triggering events at specific moments.

Logic Rung

A single control element in a ladder diagram, representing a specific logic operation in a PLC program.

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Data Stored

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