Rewrite as the Sum of Two or More Logarithms Using $\log _ { x } ( 3 y z )$

question 21

Multiple Choice

Rewrite as the sum of two or more logarithms using the product rule for logarithms. Assume all variables represent
positive real numbers.
- $\log _ { x } ( 3 y z )$

• A) \(\log _ { x } ( 3 + y + z )\)
• B) \(\log _ { x } 3 + \log _ { x } y + \log _ { x } z\)
• C) \(\left( \log _ { x } 3 \right) \left( \log _ { x } y \right) \left( \log _ { x } z \right)\)
• D) \(\log _ { 3 } y + \log _ { 3 } z\)

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Definitions:

Marginal Tax Rate

The rate at which the next dollar of taxable income will be taxed, a concept crucial in understanding progressive taxation systems.

Federal

Pertaining to the central government, as opposed to state or local governments, especially regarding its relationship with the states in a federal system of government.

Taxable Personal Income

The amount of an individual's income that is subject to taxation after all deductions and exemptions, according to the governing tax laws.

Taxable Income

The portion of an individual's or entity's income used to calculate how much tax they owe to the government in a given tax year.