Expand Assume That All Variables Represent Positive Real Numbers $\log _ { 3 } \left( \frac { \sqrt { x } } { 81 } \right)$

question 49

Multiple Choice

Expand. Assume that all variables represent positive real numbers.
- $\log _ { 3 } \left( \frac { \sqrt { x } } { 81 } \right)$

• A) \(\log _ { 3 } \sqrt { x } - \log _ { 3 } 81\)
• B) \(\frac { 1 } { 2 } \log _ { 3 } x - 4\)
• C) \(\frac { 1 } { 2 } \log _ { 3 } x - \log _ { 3 } 81\)
• D) \(\log _ { 3 } \sqrt { x } - 4 \log _ { 3 } 3\)

---

Definitions:

Fischer Projection

A method for depicting three-dimensional organic molecules in two dimensions using vertical lines for groups going back and horizontal lines for groups coming forward.

2-Bromopentan-1,3-Diol

An organic compound featuring a five-carbon chain with a bromine atom and two hydroxyl groups located at the first and third carbon atoms, respectively.

IUPAC Name

Naming chemical compounds systematically based on the guidelines set by the International Union of Pure and Applied Chemistry.

Soluble

The property of a substance to be dissolved in a solvent to form a homogeneous solution.