Use Properties of Logarithms to Condense the Logarithmic Expression $3 \log _ { 6 } x + 5 \log _ { 6 } ( x - 6 )$

question 11

Multiple Choice

Use properties of logarithms to condense the logarithmic expression. Write the expression as a single logarithm
whose coefficient is 1. Where possible, evaluate logarithmic expressions.
- $3 \log _ { 6 } x + 5 \log _ { 6 } ( x - 6 )$

• A) \(\log _ { 6 } x ^ { 3 } ( x - 6 ) ^ { 5 }\)
• B) \(\log _ { 6 } x ( x - 6 ) ^ { 15 }\)
• C) \(15 \log _ { 6 } x ( x - 6 )\)
• D) \(\log _ { 6 } x ( x - 6 )\)

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Definitions:

Maturity Matching Principle

A financial management strategy that involves matching the duration of assets with the duration of liabilities, to manage risk and ensure funding adequacy over time.

Project

A planned set of interrelated tasks to be executed over a fixed period and within certain cost and other limitations.

Self-Liquidating Loans

Loans that are structured to be paid off through the cash flow generated by the project or asset they finance.

Interest Rates

The percentage of a sum of money charged for its use, indicating the cost of borrowing money or the return on invested savings.