Solve the Logarithmic Equation $$\log _ { 2 } ( x - 2 ) - \log _ { 2 } ( x - 3 ) = 4$$

question 229

Multiple Choice

Solve the logarithmic equation. Be sure to reject any value that is not in the domain of the original logarithmic
expressions. Give the exact answer.
- $$\log _ { 2 } ( x - 2 ) - \log _ { 2 } ( x - 3 ) = 4$$

• A) \(\left\{ \frac { 46 } { 15 } \right\}\)
• B) \(\left\{ \frac { 1 } { 15 } \right\}\)
• C) \(\left\{ - \frac { 46 } { 15 } \right\}\)
• D) \(\varnothing\) )

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Definitions:

Fixed Expenses

Outlays that stay the same no matter the amount of goods produced or sold, encompassing rent, payroll, and insurance costs.

Actual Sales

The total revenue a company generates from selling its goods or services, minus any returns or refunds.

Fixed Expenses

Regularly occurring costs that remain constant in total regardless of changes in activity within a relevant period.

Contribution Margin

The difference between a company's sales revenue and its variable costs, serving as a measure of the profitability of individual products.