Write the Expression as a Single Logarithm with Coefficient 1 $$a \neq 1 \text { and } b \neq 1$$

question 199

Multiple Choice

Write the expression as a single logarithm with coefficient 1. Assume all variables represent positive real numbers with $$a \neq 1 \text { and } b \neq 1$$
- $2 \log _ { 6 } ( 3 x - 3 ) + 6 \log _ { 6 } ( 2 x + 1 )$

• A) \(\log _ { 6 } \left( ( 3 x - 3 ) ^ { 2 } + ( 2 x + 1 ) ^ { 6 } \right)\)
• B) \(\log _ { 6 } \frac { ( 3 x - 3 ) ^ { 2 } } { ( 2 x + 1 ) ^ { 6 } }\)
• C) \(\log _ { 6 } ( 3 x - 3 ) ^ { 2 } ( 2 x + 1 ) ^ { 6 }\)
• D) \(12 \log _ { 6 } ( 3 x - 3 ) ( 2 x + 1 )\)

Analyze the function and application of specific reagents in organic synthesis.

Understand the concept and application of protecting groups in synthesis.

Comprehend the formation and reactivity of acetals, including their use as protecting groups.

Distinguish between different types of reactions (e.g., reduction, condensation) and their specific conditions.

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Definitions:

Settlement

The resolution or agreement reached after a dispute or negotiation.

Concession

An act of yielding or compromising in a disagreement, where one party agrees to make a change or give up something in order to reach an agreement.

Successive Concessions

A negotiation strategy where each party makes gradual concessions to reach an agreement.

Resistance Point

The price beyond which a negotiator is unwilling to go during a negotiation.