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:

Commission

A fee paid to an agent or employee for transacting a sale, which is often a percentage of the sale price.

Sale Probability

The likelihood or chance that a product or service will be sold within a given timeframe.

Shirk

The act of avoiding or neglecting duties and responsibilities, often in the workplace.

Commission Rate

The percentage or fixed fee that agents, brokers, or service providers earn as a reward for their sales efforts or services rendered.