Use Properties of Logarithms to Expand the Logarithmic Expression as Much

question 142

Multiple Choice

Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate
logarithmic expressions without using a calculator.
- $\log _ { a } \left( \frac { x ^ { 4 } \sqrt [ 3 ] { x + 5 } } { ( x - 2 ) ^ { 2 } } \right)$

• A) \(\log _ { a } x ^ { 4 } + \log _ { a } ( x + 5 ) ^ { 1 / 3 } - \log _ { a } ( x - 2 ) ^ { 2 }\)
• B) \(4 \log _ { a } x + \frac { 1 } { 3 } \log _ { a } ( x + 5 ) - 2 \log _ { a } ( x - 2 )\)
• C) \(\log _ { a } x ^ { 4 } + \log _ { a } ( x + 5 ) ^ { - 3 } - \log _ { a } ( x - 2 ) ^ { 2 }\)
• D) \(4 \log _ { a } x - 3 \log _ { a } ( x + 5 ) - 2 \log _ { a } ( x - 2 )\)

---

Definitions:

IFRS

International Financial Reporting Standards, a set of accounting standards developed by the International Accounting Standards Board that guide how financial transactions and events should be reported.

Revaluation

An adjustment made to the book value of an asset to accurately reflect its current market value.

Prepaid Insurance

An asset account on the balance sheet representing insurance payments made in advance, which are expensed out over the period to which the insurance coverage relates.

Insurance Expense

The cost incurred by an entity for obtaining insurance coverage, typically recognized as an expense in the income statement.