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

question 346

Multiple Choice

Write the expression as a single logarithm with coefficient 1. Assume all variables represent positive real numbers with $a \neq 1 \text { and } b \neq 1$ .
- $3 \log _ { 4 } ( 4 x - 2 ) + 6 \log _ { 4 } ( 2 x + 7 )$

• A) \(\log _ { 4 } \left( ( 4 x - 2 ) ^ { 3 } + ( 2 x + 7 ) ^ { 6 } \right)\)
• B) \(\log _ { 4 } ( 4 x - 2 ) ^ { 3 } ( 2 x + 7 ) ^ { 6 }\)
• C) \(18 \log _ { 4 } ( 4 x - 2 ) ( 2 x + 7 )\)
• D) \(\log _ { 4 } \frac { ( 4 x - 2 ) ^ { 3 } } { ( 2 x + 7 ) ^ { 6 } }\)

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Definitions:

Pulmonary Vein

The blood vessels that carry oxygenated blood from the lungs back to the left atrium of the heart.

Left Atrium

One of the four chambers of the heart, receiving oxygen-rich blood from the lungs and pumping it into the left ventricle.

Pulmonary Artery

The blood vessel that carries deoxygenated blood from the right ventricle of the heart to the lungs for oxygenation.

Postcava

Another term for the inferior vena cava, the large vein that carries deoxygenated blood from the lower body to the heart.