Use Properties of Logarithms to Expand the Logarithmic Expression as Much

question 104

Multiple Choice

Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate
logarithmic expressions without using a calculator.
- $\log _ { 3 } \left( \frac { 7 \cdot 11 } { 13 } \right)$

• A) \(\log _ { 3 } 7 + \log _ { 3 } 11 - \log _ { 3 } 13\)
• B) \(\log _ { 3 } \left( \frac { 77 } { 13 } \right)\)
• C) \(\log _ { 3 } 77 - \log _ { 3 } 13\)
• D) \(\log _ { 3 } 5\)

---

Definitions:

Equilibrium

Equilibrium is a condition in a chemical reaction when the rate of the forward reaction equals the rate of the reverse reaction, leading to a constant concentration of reactants and products.

Tautomers

Isomers of organic compounds that differ in the position of protons and electrons but have the same molecular formula, often interconverting in a chemical equilibrium.

Enols

Organic compounds containing a hydroxyl group directly bonded to a carbon atom that is double-bonded to another carbon atom.

Ketones

Ketones are organic compounds characterized by a carbonyl group (C=O) linked to two carbon atoms. They are part of many biological and synthetic substances.