Use the Product, Quotient, and Power Rules of Logarithms to Rewrite

question 150

Multiple Choice

Use the product, quotient, and power rules of logarithms to rewrite the expression as a single logarithm. Assume that all
variables represent positive real numbers.
- $5 \log _ { 4 } ( 5 x - 5 ) + 6 \log _ { 4 } ( 3 x - 3 )$

• A) \(\log _ { 4 } \left( ( 5 x - 5 ) ^ { 5 } + ( 3 x - 3 ) ^ { 6 } \right)\)
• B) \(\log _ { 4 } ( 5 x - 5 ) ^ { 5 } ( 3 x - 3 ) ^ { 6 }\)
• C) \(30 \log _ { 4 } ( 5 x - 5 ) ( 3 x - 3 )\)
• D) \(\log _ { 4 } \frac { ( 5 x - 5 ) ^ { 5 } } { ( 3 x - 3 ) ^ { 6 } }\)

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Definitions:

Depreciation

The systematic reduction of the recorded cost of a fixed asset to reflect its loss in value over time, often due to wear and tear or obsolescence.

Net Income

The total earnings of a company after subtracting all expenses, taxes, and costs, reflecting the actual profit made.