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

question 163

Multiple Choice

Write the expression as a single logarithm with coefficient 1. Assume all variables represent positive real numbers with $$a \neq 1 \text { and } b \neq 1$$
- $$\frac { 1 } { 3 } \log _ { 3 } x ^ { 6 } + \frac { 1 } { 6 } \log _ { 3 } x ^ { 6 } - \frac { 1 } { 9 } \log _ { 3 } x$$

• A) \(\log _ { 3 } \left( x ^ { 7 } \right)\)
• B) \(\log _ { 3 } \left( x ^ { 9 / 2 } \right)\)
• C) \(\log _ { 3 } \left( x ^ { 26 / 9 } \right)\)
• D) \(\frac { 7 } { 9 } \log _ { 3 } \left( x ^ { 12 } \right)\)

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Definitions:

Extracellular Matrix

A sophisticated mesh of proteins and polysaccharides released by cells that offer both structural and biochemical assistance to adjacent cells.

Loose Connective Tissue

Connective tissue that consists of fibroblasts and fibers scattered in a gel-like matrix.

Collagen And Elastin

Essential proteins in connective tissues; collagen provides structural support and strength, while elastin allows tissues to resume shape after stretching or contracting.

Extracellular Matrix

A complicated web of proteins and carbs encases cells, offering both structural and biochemical aid to tissues and organs.