Use the Properties of Logarithms to Rewrite the Expression $\log 8 \left( \frac { \sqrt { 11 } } { 12 } \right)$

question 372

Multiple Choice

Use the properties of logarithms to rewrite the expression. Simplify the result if possible. Assume all variables represent positive real numbers.
- $\log 8 \left( \frac { \sqrt { 11 } } { 12 } \right)$

• A) \(\frac { 1 } { 2 } \log 811 - \log _ { 8 } 12\)
• B) \(\log 8 \sqrt { 11 } + \log 812\)
• C) \(\frac { \frac { 1 } { 2 } \log _ { 8 } 11 } { \log _ { 8 } 12 }\)
• D) \(\sqrt { \log _ { 8 } 11 } - \log _ { 8 } 12\)

---

Definitions:

Regressive Tax System

A tax system where the tax rate decreases as the taxable amount increases, placing a higher burden on lower-income individuals.

Taxpayers

Individuals or entities that are required to make payments to the government based on income, property, goods, and services.

Marginal Tax Rate

The rate at which the last dollar of a taxpayer’s income is taxed, indicating the percentage of additional income that will be taxed.

Average Tax Rate

The portion of total income that is paid as taxes, calculated by dividing the total amount of taxes paid by the total income.