Use Properties of Logarithms to Expand the Logarithmic Expression as Much

question 210

Multiple Choice

Use properties of logarithms to expand the logarithmic expression as much as possible.
- $\log _ { a } \frac { x ^ { 4 } \sqrt [ 3 ] { x + 5 } } { ( x - 2 ) ^ { 2 } }$

• A) \(\log _ { a } x ^ { 4 } + \log _ { a } ( x + 5 ) ^ { - 3 } - \log _ { a } ( x - 2 ) ^ { 2 }\)
• B) \(4 \log _ { a } x + \frac { 1 } { 3 } \log _ { a } ( x + 5 ) - 2 \log _ { a } ( x - 2 )\)
• C) \(\log _ { a } x ^ { 4 } + \log _ { a } ( x + 5 ) ^ { 1 / 3 } - \log _ { a } ( x - 2 ) ^ { 2 }\)
• D) \(4 \log _ { a } x - 3 \log _ { a } ( x + 5 ) - 2 \log _ { a } ( x - 2 )\)

---

Definitions:

Serotonin Reuptake

A process by which neurotransmitters are reabsorbed by the neuron after being released into the synapse, relevant in the treatment of depression.

Chromosomes

Thread-like structures located inside the nucleus of animal and plant cells, made of protein and a single molecule of DNA, carrying genetic information.

DNA

Deoxyribonucleic acid, a self-replicating material which is the carrier of genetic information in nearly all living organisms.

Neurotransmitters

Chemical messengers that transmit signals across a chemical synapse, from one neuron (nerve cell) to another 'target' neuron, muscle cell, or gland cell.